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Use the inverse function theorem to find the derivative of g(x) = arcsin(x). 1 = (z),6 f'(g(x)) , where f(x) = g¯'(x) Step 1 f(z) = g'(x) = %3D Step 2 f'(z) = Step 3 f'(g(x)) = 1 Step 4 f'(g(x)) Now, state g'(r). g'(x) =

Use the inverse function theorem to find the derivative of g(x) = arcsin(x). 1 = (z),6 f'(g(x)) , where f(x) = g¯'(x) Step 1 f(z) = g'(x) = %3D Step 2 f'(z) = Step 3 f'(g(x)) = 1 Step 4 f'(g(x)) Now, state g'(r). g'(x) =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 1E
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Use the inverse function theorem to find the derivative of g(x) = arcsin(x). 1 (x),6 where f(x) = 9-'(x) f'(g(x)) Step 1 f(x) = g'(x) = Step 2 f'(x) = Step 3 f'(g(x)) = 1 Step 4 f'(9(x)) Now, state g'(x). g'(x) = Question Help: E Written Example
Transcribed Image Text:Use the inverse function theorem to find the derivative of g(x) = arcsin(x). 1 (x),6 where f(x) = 9-'(x) f'(g(x)) Step 1 f(x) = g'(x) = Step 2 f'(x) = Step 3 f'(g(x)) = 1 Step 4 f'(9(x)) Now, state g'(x). g'(x) = Question Help: E Written Example
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