Explanation Given information: Given function is f ( x ) = x 3 1 + x . Calculation: A function f ( x ) is said to be concave up when f ' ' ( x ) > 0 and is said to be concave down when f ' ' ( x ) < 0 Applying derivative to the given function twice with respect to x : f ( x ) = x 3 1 + x f ' ( x ) = ( 1 + x ) ( 3 x 2 ) − ( x 3 ) ( 0 + 1 ) ( 1 + x ) 2 f ' ( x ) = 3 x 2 + 3 x 3 − x 3 ( 1 + x ) 2 f ' ( x ) = 3 x 2 + 2 x 3 ( 1 + x ) 2 f ' ' ( x ) = ( 1 + x ) 2 ( 3 ( 2 x ) + 2 ( 3 x 2 ) ) − ( 3 x 2 + 2 x 3 ) ( 2 ( 1 + x ) ) ( ( 1 + x ) 2 ) 2 f ' ' ( x ) = ( 1 + x ) 2 ( 6 x + 6 x 2 ) − ( 3 x 2 + 2 x 3 ) ( 2 ( 1 + x ) ) ( 1 + x ) 4 f ' ' ( x ) = ( 1 + x ) [ ( 1 + x ) 2 ( 6 x ) − ( 6 x 2 + 4 x 3 ) ] ( 1 + x ) 4 f ' ' ( x ) = 6 x + 12 x 2 + 6 x 3 − 6 x 2 − 4 x 3 ( 1 + x ) 3 f ' ' ( x ) = 2 x 3 + 6 x 2 + 6 x ( 1 + x ) 3 f ' ' ( x ) = 2 x ( x 2 + 3 x + 3 ) ( 1 + x ) 3 The function is concave up when f ' ' ( x ) > 0 and concave down when f ' ' ( x ) < 0 The domain of the function can be written as the intervals: − ∞ < x < − 1 , − 1 < x < 0 , 0 < x < ∞ Since the function is not defined at x = -1 and the function has zero at x = 0

ACHIEVE FOR CALCULUS 1 TERM >CSI CUSTOM<

4th Edition

ISBN: 9781319411657

Author: Rogawski

Publisher: MAC HIGHER

See similar textbooks

Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Videos

Question

Chapter 4.4, Problem 17E

To determine

To find the intervals on which the function is concave up or down and the points of inflection.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.4, Problem 16E

Chapter 4.4, Problem 18E

Students have asked these similar questions

(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}. Calculate the integral f(x, y, z) dv. E

(12 points) Let E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}. (a) (4 points) Describe the region E using spherical coordinates, that is, find p, 0, and such that (x, y, z) (psin cos 0, psin sin 0, p cos) € E. (b) (8 points) Calculate the integral E xyz dV using spherical coordinates.

(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}. Calculate the integral y, f(x, y, z) dV.

Chapter 4 Solutions

ACHIEVE FOR CALCULUS 1 TERM >CSI CUSTOM<

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - Prob. 45E Ch. 4.1 - Prob. 46E Ch. 4.1 - Prob. 47E Ch. 4.1 - Prob. 48E Ch. 4.1 - Prob. 49E Ch. 4.1 - Prob. 50E Ch. 4.1 - Prob. 51E Ch. 4.1 - Prob. 52E Ch. 4.1 - Prob. 53E Ch. 4.1 - Prob. 54E Ch. 4.1 - Prob. 55E Ch. 4.1 - Prob. 56E Ch. 4.1 - Prob. 57E Ch. 4.1 - Prob. 58E Ch. 4.1 - Prob. 59E Ch. 4.1 - Prob. 60E Ch. 4.1 - Prob. 61E Ch. 4.1 - Prob. 62E Ch. 4.1 - Prob. 63E Ch. 4.1 - Prob. 64E Ch. 4.1 - Prob. 65E Ch. 4.1 - Prob. 66E Ch. 4.1 - Prob. 67E Ch. 4.1 - Prob. 68E Ch. 4.1 - Prob. 69E Ch. 4.1 - Prob. 70E Ch. 4.1 - Prob. 71E Ch. 4.1 - Prob. 72E Ch. 4.1 - Prob. 73E Ch. 4.1 - Prob. 74E Ch. 4.2 - Prob. 1PQ Ch. 4.2 - Prob. 2PQ Ch. 4.2 - Prob. 3PQ Ch. 4.2 - Prob. 4PQ Ch. 4.2 - Prob. 1E Ch. 4.2 - Prob. 2E Ch. 4.2 - Prob. 3E Ch. 4.2 - Prob. 4E Ch. 4.2 - Prob. 5E Ch. 4.2 - Prob. 6E Ch. 4.2 - Prob. 7E Ch. 4.2 - Prob. 8E Ch. 4.2 - Prob. 9E Ch. 4.2 - Prob. 10E Ch. 4.2 - Prob. 11E Ch. 4.2 - Prob. 12E Ch. 4.2 - Prob. 13E Ch. 4.2 - Prob. 14E Ch. 4.2 - Prob. 15E Ch. 4.2 - Prob. 16E Ch. 4.2 - Prob. 17E Ch. 4.2 - Prob. 18E Ch. 4.2 - Prob. 19E Ch. 4.2 - Prob. 20E Ch. 4.2 - Prob. 21E Ch. 4.2 - Prob. 22E Ch. 4.2 - Prob. 23E Ch. 4.2 - Prob. 24E Ch. 4.2 - Prob. 25E Ch. 4.2 - Prob. 26E Ch. 4.2 - Prob. 27E Ch. 4.2 - Prob. 28E Ch. 4.2 - Prob. 29E Ch. 4.2 - Prob. 30E Ch. 4.2 - Prob. 31E Ch. 4.2 - Prob. 32E Ch. 4.2 - Prob. 33E Ch. 4.2 - Prob. 34E Ch. 4.2 - Prob. 35E Ch. 4.2 - Prob. 36E Ch. 4.2 - Prob. 37E Ch. 4.2 - Prob. 38E Ch. 4.2 - Prob. 39E Ch. 4.2 - Prob. 40E Ch. 4.2 - Prob. 41E Ch. 4.2 - Prob. 42E Ch. 4.2 - Prob. 43E Ch. 4.2 - Prob. 44E Ch. 4.2 - Prob. 45E Ch. 4.2 - Prob. 46E Ch. 4.2 - Prob. 47E Ch. 4.2 - Prob. 48E Ch. 4.2 - Prob. 49E Ch. 4.2 - Prob. 50E Ch. 4.2 - Prob. 51E Ch. 4.2 - Prob. 52E Ch. 4.2 - Prob. 53E Ch. 4.2 - Prob. 54E Ch. 4.2 - Prob. 55E Ch. 4.2 - Prob. 56E Ch. 4.2 - Prob. 57E Ch. 4.2 - Prob. 58E Ch. 4.2 - Prob. 59E Ch. 4.2 - Prob. 60E Ch. 4.2 - Prob. 61E Ch. 4.2 - Prob. 62E Ch. 4.2 - Prob. 63E Ch. 4.2 - Prob. 64E Ch. 4.2 - Prob. 65E Ch. 4.2 - Prob. 66E Ch. 4.2 - Prob. 67E Ch. 4.2 - Prob. 68E Ch. 4.2 - Prob. 69E Ch. 4.2 - Prob. 70E Ch. 4.2 - Prob. 71E Ch. 4.2 - Prob. 72E Ch. 4.2 - Prob. 73E Ch. 4.2 - Prob. 74E Ch. 4.2 - Prob. 75E Ch. 4.2 - Prob. 76E Ch. 4.2 - Prob. 77E Ch. 4.2 - Prob. 78E Ch. 4.2 - Prob. 79E Ch. 4.2 - Prob. 80E Ch. 4.2 - Prob. 81E Ch. 4.2 - Prob. 82E Ch. 4.2 - Prob. 83E Ch. 4.2 - Prob. 84E Ch. 4.2 - Prob. 85E Ch. 4.2 - Prob. 86E Ch. 4.2 - Prob. 87E Ch. 4.2 - Prob. 88E Ch. 4.2 - Prob. 89E Ch. 4.2 - Prob. 90E Ch. 4.2 - Prob. 91E Ch. 4.2 - Prob. 92E Ch. 4.2 - Prob. 93E Ch. 4.2 - Prob. 94E Ch. 4.2 - Prob. 95E Ch. 4.2 - Prob. 96E Ch. 4.2 - Prob. 97E Ch. 4.2 - Prob. 98E Ch. 4.2 - Prob. 99E Ch. 4.2 - Prob. 100E Ch. 4.2 - Prob. 101E Ch. 4.3 - Prob. 1PQ Ch. 4.3 - Prob. 2PQ Ch. 4.3 - Prob. 3PQ Ch. 4.3 - Prob. 4PQ Ch. 4.3 - Prob. 5PQ Ch. 4.3 - Prob. 6PQ Ch. 4.3 - Prob. 1E Ch. 4.3 - Prob. 2E Ch. 4.3 - Prob. 3E Ch. 4.3 - Prob. 4E Ch. 4.3 - Prob. 5E Ch. 4.3 - Prob. 6E Ch. 4.3 - Prob. 7E Ch. 4.3 - Prob. 8E Ch. 4.3 - Prob. 9E Ch. 4.3 - Prob. 10E Ch. 4.3 - Prob. 11E Ch. 4.3 - Prob. 12E Ch. 4.3 - Prob. 13E Ch. 4.3 - Prob. 14E Ch. 4.3 - Prob. 15E Ch. 4.3 - Prob. 16E Ch. 4.3 - Prob. 17E Ch. 4.3 - Prob. 18E Ch. 4.3 - Prob. 19E Ch. 4.3 - Prob. 20E Ch. 4.3 - Prob. 21E Ch. 4.3 - Prob. 22E Ch. 4.3 - Prob. 23E Ch. 4.3 - Prob. 24E Ch. 4.3 - Prob. 25E Ch. 4.3 - Prob. 26E Ch. 4.3 - Prob. 27E Ch. 4.3 - Prob. 28E Ch. 4.3 - Prob. 29E Ch. 4.3 - Prob. 30E Ch. 4.3 - Prob. 31E Ch. 4.3 - Prob. 32E Ch. 4.3 - Prob. 33E Ch. 4.3 - Prob. 34E Ch. 4.3 - Prob. 35E Ch. 4.3 - Prob. 36E Ch. 4.3 - Prob. 37E Ch. 4.3 - Prob. 38E Ch. 4.3 - Prob. 39E Ch. 4.3 - Prob. 40E Ch. 4.3 - Prob. 41E Ch. 4.3 - Prob. 42E Ch. 4.3 - Prob. 43E Ch. 4.3 - Prob. 44E Ch. 4.3 - Prob. 45E Ch. 4.3 - Prob. 46E Ch. 4.3 - Prob. 47E Ch. 4.3 - Prob. 48E Ch. 4.3 - Prob. 49E Ch. 4.3 - Prob. 50E Ch. 4.3 - Prob. 51E Ch. 4.3 - Prob. 52E Ch. 4.3 - Prob. 53E Ch. 4.3 - Prob. 54E Ch. 4.3 - Prob. 55E Ch. 4.3 - Prob. 56E Ch. 4.3 - Prob. 57E Ch. 4.3 - Prob. 58E Ch. 4.3 - Prob. 59E Ch. 4.3 - Prob. 60E Ch. 4.3 - Prob. 61E Ch. 4.3 - Prob. 62E Ch. 4.3 - Prob. 63E Ch. 4.3 - Prob. 64E Ch. 4.3 - Prob. 65E Ch. 4.3 - Prob. 66E Ch. 4.3 - Prob. 67E Ch. 4.3 - Prob. 68E Ch. 4.3 - Prob. 69E Ch. 4.3 - Prob. 70E Ch. 4.3 - Prob. 71E Ch. 4.3 - Prob. 72E Ch. 4.3 - Prob. 73E Ch. 4.3 - Prob. 74E Ch. 4.3 - Prob. 75E Ch. 4.3 - Prob. 76E Ch. 4.3 - Prob. 77E Ch. 4.3 - Prob. 78E Ch. 4.3 - Prob. 79E Ch. 4.3 - Prob. 80E Ch. 4.3 - Prob. 81E Ch. 4.4 - Prob. 1PQ Ch. 4.4 - Prob. 2PQ Ch. 4.4 - Prob. 3PQ Ch. 4.4 - Prob. 4PQ Ch. 4.4 - Prob. 5PQ Ch. 4.4 - Prob. 6PQ Ch. 4.4 - Prob. 1E Ch. 4.4 - Prob. 2E Ch. 4.4 - Prob. 3E Ch. 4.4 - Prob. 4E Ch. 4.4 - Prob. 5E Ch. 4.4 - Prob. 6E Ch. 4.4 - Prob. 7E Ch. 4.4 - Prob. 8E Ch. 4.4 - Prob. 9E Ch. 4.4 - Prob. 10E Ch. 4.4 - Prob. 11E Ch. 4.4 - Prob. 12E Ch. 4.4 - Prob. 13E Ch. 4.4 - Prob. 14E Ch. 4.4 - Prob. 15E Ch. 4.4 - Prob. 16E Ch. 4.4 - Prob. 17E Ch. 4.4 - Prob. 18E Ch. 4.4 - Prob. 19E Ch. 4.4 - Prob. 20E Ch. 4.4 - Prob. 21E Ch. 4.4 - Prob. 22E Ch. 4.4 - Prob. 23E Ch. 4.4 - Prob. 24E Ch. 4.4 - Prob. 25E Ch. 4.4 - Prob. 26E Ch. 4.4 - Prob. 27E Ch. 4.4 - Prob. 28E Ch. 4.4 - Prob. 29E Ch. 4.4 - Prob. 30E Ch. 4.4 - Prob. 31E Ch. 4.4 - Prob. 32E Ch. 4.4 - Prob. 33E Ch. 4.4 - Prob. 34E Ch. 4.4 - Prob. 35E Ch. 4.4 - Prob. 36E Ch. 4.4 - Prob. 37E Ch. 4.4 - Prob. 38E Ch. 4.4 - Prob. 39E Ch. 4.4 - Prob. 40E Ch. 4.4 - Prob. 41E Ch. 4.4 - Prob. 42E Ch. 4.4 - Prob. 43E Ch. 4.4 - Prob. 44E Ch. 4.4 - Prob. 45E Ch. 4.4 - Prob. 46E Ch. 4.4 - Prob. 47E Ch. 4.4 - Prob. 48E Ch. 4.4 - Prob. 49E Ch. 4.4 - Prob. 50E Ch. 4.4 - Prob. 51E Ch. 4.4 - Prob. 52E Ch. 4.4 - Prob. 53E Ch. 4.4 - Prob. 54E Ch. 4.4 - Prob. 55E Ch. 4.4 - Prob. 56E Ch. 4.4 - Prob. 57E Ch. 4.4 - Prob. 58E Ch. 4.4 - Prob. 59E Ch. 4.4 - Prob. 60E Ch. 4.4 - Prob. 61E Ch. 4.4 - Prob. 62E Ch. 4.4 - Prob. 63E Ch. 4.4 - Prob. 64E Ch. 4.4 - Prob. 65E Ch. 4.4 - Prob. 66E Ch. 4.4 - Prob. 67E Ch. 4.4 - Prob. 68E Ch. 4.4 - Prob. 69E Ch. 4.4 - Prob. 70E Ch. 4.4 - Prob. 71E Ch. 4.4 - Prob. 72E Ch. 4.4 - Prob. 73E Ch. 4.4 - Prob. 74E Ch. 4.4 - Prob. 75E Ch. 4.4 - Prob. 76E Ch. 4.4 - Prob. 77E Ch. 4.4 - Prob. 78E Ch. 4.5 - Prob. 1PQ Ch. 4.5 - Prob. 2PQ Ch. 4.5 - Prob. 3PQ Ch. 4.5 - Prob. 4PQ Ch. 4.5 - Prob. 5PQ Ch. 4.5 - Prob. 1E Ch. 4.5 - Prob. 2E Ch. 4.5 - Prob. 3E Ch. 4.5 - Prob. 4E Ch. 4.5 - Prob. 5E Ch. 4.5 - Prob. 6E Ch. 4.5 - Prob. 7E Ch. 4.5 - Prob. 8E Ch. 4.5 - Prob. 9E Ch. 4.5 - Prob. 10E Ch. 4.5 - Prob. 11E Ch. 4.5 - Prob. 12E Ch. 4.5 - Prob. 13E Ch. 4.5 - Prob. 14E Ch. 4.5 - Prob. 15E Ch. 4.5 - Prob. 16E Ch. 4.5 - Prob. 17E Ch. 4.5 - Prob. 18E Ch. 4.5 - Prob. 19E Ch. 4.5 - Prob. 20E Ch. 4.5 - Prob. 21E Ch. 4.5 - Prob. 22E Ch. 4.5 - Prob. 23E Ch. 4.5 - Prob. 24E Ch. 4.5 - Prob. 25E Ch. 4.5 - Prob. 26E Ch. 4.5 - Prob. 27E Ch. 4.5 - Prob. 28E Ch. 4.5 - Prob. 29E Ch. 4.5 - Prob. 30E Ch. 4.5 - Prob. 31E Ch. 4.5 - Prob. 32E Ch. 4.5 - Prob. 33E Ch. 4.5 - Prob. 34E Ch. 4.5 - Prob. 35E Ch. 4.5 - Prob. 36E Ch. 4.5 - Prob. 37E Ch. 4.5 - Prob. 38E Ch. 4.5 - Prob. 39E Ch. 4.5 - Prob. 40E Ch. 4.5 - Prob. 41E Ch. 4.5 - Prob. 42E Ch. 4.5 - Prob. 43E Ch. 4.5 - Prob. 44E Ch. 4.5 - Prob. 45E Ch. 4.5 - Prob. 46E Ch. 4.5 - Prob. 47E Ch. 4.5 - Prob. 48E Ch. 4.5 - Prob. 49E Ch. 4.5 - Prob. 50E Ch. 4.5 - Prob. 51E Ch. 4.5 - Prob. 52E Ch. 4.5 - Prob. 53E Ch. 4.5 - Prob. 54E Ch. 4.5 - Prob. 55E Ch. 4.5 - Prob. 56E Ch. 4.5 - Prob. 57E Ch. 4.5 - Prob. 58E Ch. 4.5 - Prob. 59E Ch. 4.5 - Prob. 60E Ch. 4.5 - Prob. 61E Ch. 4.5 - Prob. 62E Ch. 4.5 - Prob. 63E Ch. 4.5 - Prob. 64E Ch. 4.5 - Prob. 65E Ch. 4.5 - Prob. 66E Ch. 4.5 - Prob. 67E Ch. 4.5 - Prob. 68E Ch. 4.5 - Prob. 69E Ch. 4.5 - Prob. 70E Ch. 4.5 - Prob. 71E Ch. 4.5 - Prob. 72E Ch. 4.5 - Prob. 73E Ch. 4.5 - Prob. 74E Ch. 4.5 - Prob. 75E Ch. 4.5 - Prob. 76E Ch. 4.5 - Prob. 77E Ch. 4.5 - Prob. 78E Ch. 4.5 - Prob. 79E Ch. 4.5 - Prob. 80E Ch. 4.5 - Prob. 81E Ch. 4.5 - Prob. 82E Ch. 4.5 - Prob. 83E Ch. 4.5 - Prob. 84E Ch. 4.6 - Prob. 1PQ Ch. 4.6 - Prob. 2PQ Ch. 4.6 - Prob. 3PQ Ch. 4.6 - Prob. 1E Ch. 4.6 - Prob. 2E Ch. 4.6 - Prob. 3E Ch. 4.6 - Prob. 4E Ch. 4.6 - Prob. 5E Ch. 4.6 - Prob. 6E Ch. 4.6 - Prob. 7E Ch. 4.6 - Prob. 8E Ch. 4.6 - Prob. 9E Ch. 4.6 - Prob. 10E Ch. 4.6 - Prob. 11E Ch. 4.6 - Prob. 12E Ch. 4.6 - Prob. 13E Ch. 4.6 - Prob. 14E Ch. 4.6 - Prob. 15E Ch. 4.6 - Prob. 16E Ch. 4.6 - Prob. 17E Ch. 4.6 - Prob. 18E Ch. 4.6 - Prob. 19E Ch. 4.6 - Prob. 20E Ch. 4.6 - Prob. 21E Ch. 4.6 - Prob. 22E Ch. 4.6 - Prob. 23E Ch. 4.6 - Prob. 24E Ch. 4.6 - Prob. 25E Ch. 4.6 - Prob. 26E Ch. 4.6 - Prob. 27E Ch. 4.6 - Prob. 28E Ch. 4.6 - Prob. 29E Ch. 4.6 - Prob. 30E Ch. 4.6 - Prob. 31E Ch. 4.6 - Prob. 32E Ch. 4.6 - Prob. 33E Ch. 4.6 - Prob. 34E Ch. 4.6 - Prob. 35E Ch. 4.6 - Prob. 36E Ch. 4.6 - Prob. 37E Ch. 4.6 - Prob. 38E Ch. 4.6 - Prob. 39E Ch. 4.6 - Prob. 40E Ch. 4.6 - Prob. 41E Ch. 4.6 - Prob. 42E Ch. 4.6 - Prob. 43E Ch. 4.6 - Prob. 44E Ch. 4.6 - Prob. 45E Ch. 4.6 - Prob. 46E Ch. 4.6 - Prob. 47E Ch. 4.6 - Prob. 48E Ch. 4.6 - Prob. 49E Ch. 4.6 - Prob. 50E Ch. 4.6 - Prob. 51E Ch. 4.6 - Prob. 52E Ch. 4.6 - Prob. 53E Ch. 4.6 - Prob. 54E Ch. 4.6 - Prob. 55E Ch. 4.6 - Prob. 56E Ch. 4.6 - Prob. 57E Ch. 4.6 - Prob. 58E Ch. 4.6 - Prob. 59E Ch. 4.6 - Prob. 60E Ch. 4.6 - Prob. 61E Ch. 4.6 - Prob. 62E Ch. 4.6 - Prob. 63E Ch. 4.6 - Prob. 64E Ch. 4.6 - Prob. 65E Ch. 4.6 - Prob. 66E Ch. 4.6 - Prob. 67E Ch. 4.6 - Prob. 68E Ch. 4.6 - Prob. 69E Ch. 4.6 - Prob. 70E Ch. 4.6 - Prob. 71E Ch. 4.6 - Prob. 72E Ch. 4.6 - Prob. 73E Ch. 4.6 - Prob. 74E Ch. 4.6 - Prob. 75E Ch. 4.6 - Prob. 76E Ch. 4.6 - Prob. 77E Ch. 4.6 - Prob. 78E Ch. 4.6 - Prob. 79E Ch. 4.6 - Prob. 80E Ch. 4.6 - Prob. 81E Ch. 4.7 - Prob. 1PQ Ch. 4.7 - Prob. 2PQ Ch. 4.7 - Prob. 3PQ Ch. 4.7 - Prob. 1E Ch. 4.7 - Prob. 2E Ch. 4.7 - Prob. 3E Ch. 4.7 - Prob. 4E Ch. 4.7 - Prob. 5E Ch. 4.7 - Prob. 6E Ch. 4.7 - Prob. 7E Ch. 4.7 - Prob. 8E Ch. 4.7 - Prob. 9E Ch. 4.7 - Prob. 10E Ch. 4.7 - Prob. 11E Ch. 4.7 - Prob. 12E Ch. 4.7 - Prob. 13E Ch. 4.7 - Prob. 14E Ch. 4.7 - Prob. 15E Ch. 4.7 - Prob. 16E Ch. 4.7 - Prob. 17E Ch. 4.7 - Prob. 18E Ch. 4.7 - Prob. 19E Ch. 4.7 - Prob. 20E Ch. 4.7 - Prob. 21E Ch. 4.7 - Prob. 22E Ch. 4.7 - Prob. 23E Ch. 4.7 - Prob. 24E Ch. 4.7 - Prob. 25E Ch. 4.7 - Prob. 26E Ch. 4.7 - Prob. 27E Ch. 4.7 - Prob. 28E Ch. 4.7 - Prob. 29E Ch. 4.7 - Prob. 30E Ch. 4.7 - Prob. 31E Ch. 4.7 - Prob. 32E Ch. 4.7 - Prob. 33E Ch. 4.7 - Prob. 34E Ch. 4.7 - Prob. 35E Ch. 4.7 - Prob. 36E Ch. 4.7 - Prob. 37E Ch. 4.7 - Prob. 38E Ch. 4.7 - Prob. 39E Ch. 4.7 - Prob. 40E Ch. 4.7 - Prob. 41E Ch. 4.7 - Prob. 42E Ch. 4.7 - Prob. 43E Ch. 4.7 - Prob. 44E Ch. 4.7 - Prob. 45E Ch. 4.7 - Prob. 46E Ch. 4.7 - Prob. 47E Ch. 4.7 - Prob. 48E Ch. 4.7 - Prob. 49E Ch. 4.7 - Prob. 50E Ch. 4.7 - Prob. 51E Ch. 4.7 - Prob. 52E Ch. 4.7 - Prob. 53E Ch. 4.7 - Prob. 54E Ch. 4.7 - Prob. 55E Ch. 4.7 - Prob. 56E Ch. 4.7 - Prob. 57E Ch. 4.7 - Prob. 58E Ch. 4.7 - Prob. 59E Ch. 4.7 - Prob. 60E Ch. 4.7 - Prob. 61E Ch. 4.7 - Prob. 62E Ch. 4.7 - Prob. 63E Ch. 4.7 - Prob. 64E Ch. 4.7 - Prob. 65E Ch. 4.7 - Prob. 66E Ch. 4.7 - Prob. 67E Ch. 4.7 - Prob. 68E Ch. 4.7 - Prob. 69E Ch. 4.7 - Prob. 70E Ch. 4.7 - Prob. 71E Ch. 4.7 - Prob. 72E Ch. 4.7 - Prob. 73E Ch. 4.7 - Prob. 74E Ch. 4.7 - Prob. 75E Ch. 4.7 - Prob. 76E Ch. 4.7 - Prob. 77E Ch. 4.7 - Prob. 78E Ch. 4.7 - Prob. 79E Ch. 4.7 - Prob. 80E Ch. 4.7 - Prob. 81E Ch. 4.7 - Prob. 82E Ch. 4.8 - Prob. 1PQ Ch. 4.8 - Prob. 2PQ Ch. 4.8 - Prob. 3PQ Ch. 4.8 - Prob. 4PQ Ch. 4.8 - Prob. 1E Ch. 4.8 - Prob. 2E Ch. 4.8 - Prob. 3E Ch. 4.8 - Prob. 4E Ch. 4.8 - Prob. 5E Ch. 4.8 - Prob. 6E Ch. 4.8 - Prob. 7E Ch. 4.8 - Prob. 8E Ch. 4.8 - Prob. 9E Ch. 4.8 - Prob. 10E Ch. 4.8 - Prob. 11E Ch. 4.8 - Prob. 12E Ch. 4.8 - Prob. 13E Ch. 4.8 - Prob. 14E Ch. 4.8 - Prob. 15E Ch. 4.8 - Prob. 16E Ch. 4.8 - Prob. 17E Ch. 4.8 - Prob. 18E Ch. 4.8 - Prob. 19E Ch. 4.8 - Prob. 20E Ch. 4.8 - Prob. 21E Ch. 4.8 - Prob. 22E Ch. 4.8 - Prob. 23E Ch. 4.8 - Prob. 24E Ch. 4.8 - Prob. 25E Ch. 4.8 - Prob. 26E Ch. 4.8 - Prob. 27E Ch. 4.8 - Prob. 28E Ch. 4.8 - Prob. 29E Ch. 4.8 - Prob. 30E Ch. 4.8 - Prob. 31E Ch. 4.8 - Prob. 32E Ch. 4.8 - Prob. 33E Ch. 4.8 - Prob. 34E Ch. 4.8 - Prob. 35E Ch. 4.8 - Prob. 36E Ch. 4.8 - Prob. 37E Ch. 4.8 - Prob. 38E Ch. 4.8 - Prob. 39E Ch. 4.8 - Prob. 40E Ch. 4.8 - Prob. 41E Ch. 4 - Prob. 1CRE Ch. 4 - Prob. 2CRE Ch. 4 - Prob. 3CRE Ch. 4 - Prob. 4CRE Ch. 4 - Prob. 5CRE Ch. 4 - Prob. 6CRE Ch. 4 - Prob. 7CRE Ch. 4 - Prob. 8CRE Ch. 4 - Prob. 9CRE Ch. 4 - Prob. 10CRE Ch. 4 - Prob. 11CRE Ch. 4 - Prob. 12CRE Ch. 4 - Prob. 13CRE Ch. 4 - Prob. 14CRE Ch. 4 - Prob. 15CRE Ch. 4 - Prob. 16CRE Ch. 4 - Prob. 17CRE Ch. 4 - Prob. 18CRE Ch. 4 - Prob. 19CRE Ch. 4 - Prob. 20CRE Ch. 4 - Prob. 21CRE Ch. 4 - Prob. 22CRE Ch. 4 - Prob. 23CRE Ch. 4 - Prob. 24CRE Ch. 4 - Prob. 25CRE Ch. 4 - Prob. 26CRE Ch. 4 - Prob. 27CRE Ch. 4 - Prob. 28CRE Ch. 4 - Prob. 29CRE Ch. 4 - Prob. 30CRE Ch. 4 - Prob. 31CRE Ch. 4 - Prob. 32CRE Ch. 4 - Prob. 33CRE Ch. 4 - Prob. 34CRE Ch. 4 - Prob. 35CRE Ch. 4 - Prob. 36CRE Ch. 4 - Prob. 37CRE Ch. 4 - Prob. 38CRE Ch. 4 - Prob. 39CRE Ch. 4 - Prob. 40CRE Ch. 4 - Prob. 41CRE Ch. 4 - Prob. 42CRE Ch. 4 - Prob. 43CRE Ch. 4 - Prob. 44CRE Ch. 4 - Prob. 45CRE Ch. 4 - Prob. 46CRE Ch. 4 - Prob. 47CRE Ch. 4 - Prob. 48CRE Ch. 4 - Prob. 49CRE Ch. 4 - Prob. 50CRE Ch. 4 - Prob. 51CRE Ch. 4 - Prob. 52CRE Ch. 4 - Prob. 53CRE Ch. 4 - Prob. 54CRE Ch. 4 - Prob. 55CRE Ch. 4 - Prob. 56CRE Ch. 4 - Prob. 57CRE Ch. 4 - Prob. 58CRE Ch. 4 - Prob. 59CRE Ch. 4 - Prob. 60CRE Ch. 4 - Prob. 61CRE Ch. 4 - Prob. 62CRE Ch. 4 - Prob. 63CRE Ch. 4 - Prob. 64CRE Ch. 4 - Prob. 65CRE Ch. 4 - Prob. 66CRE Ch. 4 - Prob. 67CRE Ch. 4 - Prob. 68CRE Ch. 4 - Prob. 69CRE Ch. 4 - Prob. 70CRE Ch. 4 - Prob. 71CRE Ch. 4 - Prob. 72CRE Ch. 4 - Prob. 73CRE Ch. 4 - Prob. 74CRE Ch. 4 - Prob. 75CRE Ch. 4 - Prob. 76CRE Ch. 4 - Prob. 77CRE Ch. 4 - Prob. 78CRE Ch. 4 - Prob. 79CRE Ch. 4 - Prob. 80CRE Ch. 4 - Prob. 81CRE Ch. 4 - Prob. 82CRE Ch. 4 - Prob. 83CRE Ch. 4 - Prob. 84CRE Ch. 4 - Prob. 85CRE Ch. 4 - Prob. 86CRE Ch. 4 - Prob. 87CRE Ch. 4 - Prob. 88CRE Ch. 4 - Prob. 89CRE

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

To find the intervals on which the function is concave up or down and the points of inflection.

Solution Summary: The author explains how to find the intervals on which the function is concave up or down and the points of inflection.

Concept explainers

Videos

To find the intervals on which the function is concave up or down and the points of inflection.

Want to see the full answer?

Chapter 4 Solutions