Question: The following functions are differentiable. For each function, verify that it has inverse and find \(\left( {{f}^{-1}} \right)'\left( a \right)\)

1. \(f\left( x \right)={{x}^{3}}+x+1,\,\,\,\,a=11\)
2. \(f\left( x \right)=\frac{3}{{{x}^{3}}}-x,\,\,\,x<0,\,\,a=-2\)

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