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If g is inverse of f then prove that f''...

If g is inverse of f then prove that `f''(g(x))=-g''(x)(f'(g(x)))^(3).`

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To prove that \( f''(g(x)) = -g''(x)(f'(g(x)))^3 \), we start with the fact that \( g \) is the inverse of \( f \). This means that: \[ f(g(x)) = x \] ### Step 1: Differentiate both sides with respect to \( x \) ...
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