Homework Help is Here – Start Your Trial Now!
Math
Calculus
dy 1. (10 points) Use implicit differentiation to find dx dy dx Then, evaluate at y In(x) + y² = 0 -e-2

dy 1. (10 points) Use implicit differentiation to find dx dy dx Then, evaluate at y In(x) + y² = 0 -e-2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

These are practice exam for Calculus 1

I have answers but I do need explain from 1 to 8.

 

Please help me out

dy Then, evaluate 2 at e2, –2 dx dy 1. (10 points) Use implicit differentiation to find dx y In(x) + y² = 0 dy at (4, 2). dx 2. (10 points) Use logarithmic differentiation to find dy/dx. Then, evaluate 글1-2 (1 – 2 In(2)) y = x2/x 3. (10 points) Find the absolute extrema of the function on the closed interval. 3 f(x) = x (-1, -), (2,2) [-1,2] 4. (10 points) Find the derivative of the given function. Note: Your final answer should contain no Trig. nor Inverse Trig. functions. 1 f(x) = tan(arcsin(x)) (1 – x²)3/2 5. (16 points) Determine whether the Mean Value Theorem can be applied to the func- tion on the given closed interval. If it can, find all values of c guaranteed by the theorem. If it can't, explain why not. (a) (8 points) f(x) = V4x – 3, (b) (8 points) g(x) = sec(x), [1, 3] c=? [0, 7] MVT Does Not Apply Since Not Continuous
Transcribed Image Text:dy Then, evaluate 2 at e2, –2 dx dy 1. (10 points) Use implicit differentiation to find dx y In(x) + y² = 0 dy at (4, 2). dx 2. (10 points) Use logarithmic differentiation to find dy/dx. Then, evaluate 글1-2 (1 – 2 In(2)) y = x2/x 3. (10 points) Find the absolute extrema of the function on the closed interval. 3 f(x) = x (-1, -), (2,2) [-1,2] 4. (10 points) Find the derivative of the given function. Note: Your final answer should contain no Trig. nor Inverse Trig. functions. 1 f(x) = tan(arcsin(x)) (1 – x²)3/2 5. (16 points) Determine whether the Mean Value Theorem can be applied to the func- tion on the given closed interval. If it can, find all values of c guaranteed by the theorem. If it can't, explain why not. (a) (8 points) f(x) = V4x – 3, (b) (8 points) g(x) = sec(x), [1, 3] c=? [0, 7] MVT Does Not Apply Since Not Continuous
6. (10 points) Find the limit. sin(x) – 9x lim x+00 x+xe-* 7. (10 points) Sketch the graph of a twice-differentiable function with the following properties. Label coordinates where possible. See similar problem : CalcChat.com Chapter 4 Section R Exercise 57 (p.279) f"(x) f(x) <0 f"(x) > 0 f(x) = 0 f'(x) = 0 f"(x) = 0 f'(x) <0 f"(x) <0 f(x) = -4 f'(x) < 0 f"(x) = 0 f'(x) < 0 f"(x) > 0 f(x) = -8 F'(x) = 0 f"(x) > 0 | f (x) > 0 | F"(x) > 0 f(x) f'(x) x < -3 X = -3 -3 <x< -1 x = -1 -1 <x<2 X = 2 x> 2 Math 280 - 601 Test 2 Answer Key - Page 3 of 3 8. (12 points) Analyze and sketch the graph of the function. Give the intervals where the function is increasing/decreasing as well as where the function is concave up- ward/downward. Label any intercepts, relative extrema, points of inflection, and asymptotes. Click To See Graph f(x) = x2 +1
Transcribed Image Text:6. (10 points) Find the limit. sin(x) – 9x lim x+00 x+xe-* 7. (10 points) Sketch the graph of a twice-differentiable function with the following properties. Label coordinates where possible. See similar problem : CalcChat.com Chapter 4 Section R Exercise 57 (p.279) f"(x) f(x) <0 f"(x) > 0 f(x) = 0 f'(x) = 0 f"(x) = 0 f'(x) <0 f"(x) <0 f(x) = -4 f'(x) < 0 f"(x) = 0 f'(x) < 0 f"(x) > 0 f(x) = -8 F'(x) = 0 f"(x) > 0 | f (x) > 0 | F"(x) > 0 f(x) f'(x) x < -3 X = -3 -3 <x< -1 x = -1 -1 <x<2 X = 2 x> 2 Math 280 - 601 Test 2 Answer Key - Page 3 of 3 8. (12 points) Analyze and sketch the graph of the function. Give the intervals where the function is increasing/decreasing as well as where the function is concave up- ward/downward. Label any intercepts, relative extrema, points of inflection, and asymptotes. Click To See Graph f(x) = x2 +1
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS