Find g'(x) if g(x) = Arccsc f (x) where f(x) is a function of x and f'(x) is its derivative. gʻ(x) = -f'(x) Arccsc f (x) Arccot f (x) g'(x) = - xVx² 1 f(x)+f'(x) Arccsc x 1 g'(x) = f'(x) f(x)JF²(x) – 1' 1 g'(x) = f'(x) xVx² – 1° %3D

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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Find g'(x) if
g(x) = Arccsc f (x)
where f(x) is a function of x and f'(x) is its derivative.
g'(x) = -f'(x) Arccsc f (x) Arccot f (x)
g'(x) = -
xVx²
f (x)+ f'(x) Arccsc x
1
f"(x)
f(x)\f²(x) – 1'
g'(x) =
1
=f'(x)
xVx2 – 1
g'(x) :
Transcribed Image Text:Find g'(x) if g(x) = Arccsc f (x) where f(x) is a function of x and f'(x) is its derivative. g'(x) = -f'(x) Arccsc f (x) Arccot f (x) g'(x) = - xVx² f (x)+ f'(x) Arccsc x 1 f"(x) f(x)\f²(x) – 1' g'(x) = 1 =f'(x) xVx2 – 1 g'(x) :
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