Let f be a differentiable function. We are given the following values of ƒ and x |ƒ(x)|ƒ'(x) 4 16 36 Consider the functions g, h, k defined by Find the following values: a) g'(4) = b) h' (4) = c) k'(4) = g(x) h(x) = k(x) = 36 2 3 7 -3 4 f(x²) fof(x) 3(f(x))³ — 1(f(x))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...
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Let f be a differentiable function. We are given the following values of f and f':
x|ƒ(x) | ƒ'(x)
7
Consider the functions g, h, k defined by
Find the following values:
a) g' (4) =
b) h' (4) =
c) k'(4) =
g(x)
h(x)
k(x)
4
16
36
=
=
=
36
2
3
-3
4
f(x²)
fof(x)
3(f(x))³ — 1(ƒ(x))²
Transcribed Image Text:Let f be a differentiable function. We are given the following values of f and f': x|ƒ(x) | ƒ'(x) 7 Consider the functions g, h, k defined by Find the following values: a) g' (4) = b) h' (4) = c) k'(4) = g(x) h(x) k(x) 4 16 36 = = = 36 2 3 -3 4 f(x²) fof(x) 3(f(x))³ — 1(ƒ(x))²
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