sin h Use the definition of the derivative and the fact that lim cos(h)-1 =1 and lim = 0 to show that if h→0 h h→0 h f(x) = sin x, then f'(x) = cos x. (Hint: sin(a + b) = sin(a) cos(b) + cos(a) sin(b))
sin h Use the definition of the derivative and the fact that lim cos(h)-1 =1 and lim = 0 to show that if h→0 h h→0 h f(x) = sin x, then f'(x) = cos x. (Hint: sin(a + b) = sin(a) cos(b) + cos(a) sin(b))
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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![sin h
Use the definition of the derivative and the fact that lim
cos(h)-1
=1 and lim
= 0 to show that if
h→0
h
h→0 h
f(x) = sin x, then f'(x) = cos x. (Hint: sin(a + b) = sin(a) cos(b) + cos(a) sin(b))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b27e901-e87b-4228-8406-e843591659e6%2F93a3520b-8586-4788-adab-91c6a242a0ea%2Fjqy1kkq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:sin h
Use the definition of the derivative and the fact that lim
cos(h)-1
=1 and lim
= 0 to show that if
h→0
h
h→0 h
f(x) = sin x, then f'(x) = cos x. (Hint: sin(a + b) = sin(a) cos(b) + cos(a) sin(b))
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