(a) Find the second derivative of the function y = 2x² sin(x). (b) Find the derivative of the function cos x y = sin(x)+1 (a) Find the derivative of the function y = cos(cos(e*) (b) Let h(x) = g(x)/f(x). Use the following table to find h' (3) and h' (2).

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...
Question
(a) Find the second derivative of the
function y = 2x² sin(x).
(b) Find the derivative of the function
cos x
sin(x)+1
y =
(a) Find the derivative of the function
y = cos(cos(e*)
(b) Let h(x) = g(x)/f(x). Use the following
table to find h' (3) and h' (2).
%3D
1
2
3
4
f(x)
3
1
f'(x)
5
2
-5
-8
-10
g(x)
4
1
3
g'(x)
10
15
20
20
Transcribed Image Text:(a) Find the second derivative of the function y = 2x² sin(x). (b) Find the derivative of the function cos x sin(x)+1 y = (a) Find the derivative of the function y = cos(cos(e*) (b) Let h(x) = g(x)/f(x). Use the following table to find h' (3) and h' (2). %3D 1 2 3 4 f(x) 3 1 f'(x) 5 2 -5 -8 -10 g(x) 4 1 3 g'(x) 10 15 20 20
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