Suppose that  f(2) = −3, g(2) = 4, f '(2) = −5, and g'(2) = 1.  Find  h'(2).   (a)     h(x) = 3f(x) − 5g(x) h'(2) =   (b)     h(x) = f(x)g(x) h'(2) =  (c)     h(x) =  f(x) g(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) = −3, g(2) = 4, f '(2) = −5, and g'(2) = 1.

 Find 

h'(2).

 

(a)    
h(x) = 3f(x) − 5g(x)

h'(2) =  


(b)    
h(x) = f(x)g(x)

h'(2) = 


(c)    
h(x) = 
f(x)
g(x)

h'(2) = 


(d)    
h(x) = 
g(x)
1 + f(x)

h'(2) = 
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