cos (x + h) – cos x f'(x) = lim h0 57. h cos x cos h – sin x sin h – cos x lim h sin h cos h = lim ( (- sin x) h→0 + (cos x). h h = (– sin x) · 1 + (cos x) · 0 = – sin x

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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cos (x + h) – cos x
f'(x) = lim
h0
57.
h
cos x cos h – sin x sin h – cos x
lim
h
sin h
cos h
= lim ( (- sin x)
h→0
+ (cos x).
h
h
= (– sin x) · 1 + (cos x) · 0 = – sin x
Transcribed Image Text:cos (x + h) – cos x f'(x) = lim h0 57. h cos x cos h – sin x sin h – cos x lim h sin h cos h = lim ( (- sin x) h→0 + (cos x). h h = (– sin x) · 1 + (cos x) · 0 = – sin x
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