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Proof for derivative of tan inverse trig function

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#InverseFunctions #InverseDerivatives #Calculus
Derivative of Inverse Functions: Inverse function has reciprocal slope at corresponding points.
Prove
(f^(-1) )'(x)=1/(f^' (f^(-1) (x)) )
Derivative of Inverse Functions: Inverse function has reciprocal slope at corresponding points.
Prove
(f^(-1) )'(x)=1/(f^' (f^(-1) (x)) )
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