1. Show all steps of finding the derivative of the function f(x) = 1+2sin-'(x) treating it as the inverse function of g (x)=sin in(2¹) Use the fact that g (f(x)) = x and follow the chain rule to find [g (f(x))]=g' (f(x)) -f'(x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Show all steps of finding the derivative of the
function f(x) = 1 +2sin-¹(x) treating it as the
inverse function of g (x) = sin
X
2
Use the fact that g (f(x)) = x and follow the
chain rule to find
[g (f(x))]=g'(f(x)) .f'(x)
Transcribed Image Text:1. Show all steps of finding the derivative of the function f(x) = 1 +2sin-¹(x) treating it as the inverse function of g (x) = sin X 2 Use the fact that g (f(x)) = x and follow the chain rule to find [g (f(x))]=g'(f(x)) .f'(x)
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