Suppose that f(2) = -5, g(2) = 3, f '(2) = -2, and g'(2) = 1. Find h'(2). (a) h(x) = 4f(x) – 5g(x) h'(2) = (b) h(x) = f(x)g(x) h'(2) = f(x) g(x) (c) h(x) h'(2) = g(x) 1 + f(x) (d) h(x) = 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...
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Suppose that f(2) = -5, g(2) = 3, f '(2) = -2, and g'(2) = 1. Find h'(2).
(a)
h(x) = 4f(x) – 5g(x)
h'(2) =
(b)
h(x) = f(x)g(x)
h'(2) =
f(x)
g(x)
(c) h(x)
h'(2) =
g(x)
1 + f(x)
(d)
h(x) =
h'(2) =
Transcribed Image Text:Suppose that f(2) = -5, g(2) = 3, f '(2) = -2, and g'(2) = 1. Find h'(2). (a) h(x) = 4f(x) – 5g(x) h'(2) = (b) h(x) = f(x)g(x) h'(2) = f(x) g(x) (c) h(x) h'(2) = g(x) 1 + f(x) (d) h(x) = h'(2) =
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