Let
f(x)
be a monotonic function and differentiable at point t. We note:
f(t)=b
If
f'(t)\neq 0
Then
f^{-1}(x)
is differentiable at point b and the following holds:
(f^{-1})' (b) = \frac{1}{f'(f^{-1}(b))}
In short, remember this formula:
(f^{-1})' (x) = \frac{1}{f'(f^{-1}(x))}
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