Suppose that the function f(x) and its first derivative have the fol- lowing values at x = 0 and x = 1. f(x) f'(x) 9. -2 1/5 -3 Find the first derivatives of the following combinations at the giv- en value of x. b. Vf(x), x = 0 а. Vx f(x), х %3D1 c. f(Vx), x = 1 d. f(1 5 tan x), x = 0) f(x) (A) f²(x), x = 1 f. 10 sin e. 2 + cos 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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Question
Suppose that the function f(x) and its first derivative have the fol-
lowing values at x = 0 and x = 1.
f(x)
f'(x)
9.
-2
1/5
-3
Find the first derivatives of the following combinations at the giv-
en value of x.
b. Vf(x), x = 0
а. Vx f(x), х %3D1
c.
f(Vx), x = 1
d. f(1
5 tan x), x = 0)
f(x)
(A) f²(x), x = 1
f. 10 sin
e.
2 +
cos x
Transcribed Image Text:Suppose that the function f(x) and its first derivative have the fol- lowing values at x = 0 and x = 1. f(x) f'(x) 9. -2 1/5 -3 Find the first derivatives of the following combinations at the giv- en value of x. b. Vf(x), x = 0 а. Vx f(x), х %3D1 c. f(Vx), x = 1 d. f(1 5 tan x), x = 0) f(x) (A) f²(x), x = 1 f. 10 sin e. 2 + cos x
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