1. Determine whether f(x) = |x + 1| is continuous at x = -1. %3D dy using definition with limit of the following: dx 2. Find the differentiation -2x y = 5x – 2 dy of the function y(x) dx tan-'(2x) 2+ 3. Find 4. Let f(x) = 5+12x – a³. Find (a) the open intervals on which f is concave up, (b) the open intervals on which f is concave down and (c) the x-coordinates of all inflection points. 5. Find the Maclaurin series of the function f(x)=.
1. Determine whether f(x) = |x + 1| is continuous at x = -1. %3D dy using definition with limit of the following: dx 2. Find the differentiation -2x y = 5x – 2 dy of the function y(x) dx tan-'(2x) 2+ 3. Find 4. Let f(x) = 5+12x – a³. Find (a) the open intervals on which f is concave up, (b) the open intervals on which f is concave down and (c) the x-coordinates of all inflection points. 5. Find the Maclaurin series of the function f(x)=.
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...
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1. Determine whether f(x) = |x+ 1| is continuous at x = -1.
dy
2. Find the differentiation () using definition with limit of the following:
1
-2x
Y =
5x
2
dy
of the function y(x) =
d.x
-1
3. Find
tan
(2x)
2+x²
4. Let f(x) = 5+12x – x³. Find (a) the open intervals on which f is concave up,
(b) the open intervals on which ƒ is concave down and (c) the x-coordinates
of all inflection points.
5. Find the Maclaurin series of the function f(x) = .
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