Let f be a differentiable function. We are given the following values of f and f': xƒ(x) ƒ'(x) 6 2 -5 18 2 3 Consider the functions g, h, k defined by f(x²) fof(x) -4(f(x))³ — 2(ƒ(x))² 2 4 18 g(x) h(x) k(x) Find the following values: a) g' (2) = b) h' (2) = c) k' (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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Solutions for a,b,c please
Let f be a differentiable function. We are
given the following values of f and f':
xƒ(x) ƒ'(x)
6
2
-5
2
18
4
2
18 3
Consider the functions g, h, k defined by
g(x)
h(x)
k(x)
Find the following values:
a) g' (2)
b) h' (2) =
c) k' (2) =
=
=
=
f(x²)
fof(x)
-4(f(x))³ — 2(ƒ(x))²
=
Transcribed Image Text:Let f be a differentiable function. We are given the following values of f and f': xƒ(x) ƒ'(x) 6 2 -5 2 18 4 2 18 3 Consider the functions g, h, k defined by g(x) h(x) k(x) Find the following values: a) g' (2) b) h' (2) = c) k' (2) = = = = f(x²) fof(x) -4(f(x))³ — 2(ƒ(x))² =
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