If f(x) = 4x(sin x + cos x), find f'(x) = f'(4) = -12 sin (4) + 20 cos (4) OF

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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If f(x) = 4x(sin x + cos
f'(x) =
os x), find
f'(4) = −12 sin (4) +20 cos (4)
Transcribed Image Text:If f(x) = 4x(sin x + cos f'(x) = os x), find f'(4) = −12 sin (4) +20 cos (4)
1
g(x)
g'(x)
N|W|N|-
X
f(x) 2
f'(x) 3 2
A|N| → N
3
2
h'(1) if h(x) =
1
2 4
3
3
4
حاحا حاس
4 1
1
3
1 4 2
0
4
h'(1) if h(x) = f(x) · g(x) 12
f(x)
g(x)
h'(1) if h(x) = f(g(x))
Transcribed Image Text:1 g(x) g'(x) N|W|N|- X f(x) 2 f'(x) 3 2 A|N| → N 3 2 h'(1) if h(x) = 1 2 4 3 3 4 حاحا حاس 4 1 1 3 1 4 2 0 4 h'(1) if h(x) = f(x) · g(x) 12 f(x) g(x) h'(1) if h(x) = f(g(x))
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