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Derivative of the Inverse at a Corresponding Point
If:
$$y=f(x)$$
and:
$$f(a)=b$$
then:
$$\left(f^{-1}\right)'(b)=\frac{1}{f'(a)}$$
provided:
$$f'(a)\neq0$$
Usage
- Used when the value of the original function and its derivative are known at a particular point.
