Question

Asked Dec 2, 2019

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assume f(g(x))=x and f'(x)=1+f^{2}(x) for all x. show that g'(x)=1/(1+x^{2})

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Step 1

Differentiate both sides of f(g(x))=x with respect to x. Use chain rule on the left side.

Step 2

Given f'(x)= 1+f^2(x)

Plug g(x) in place of x here. ...

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