Derivative of tan inverse with chain rule

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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)) )
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Thanks so much for your always very polite help I'm a doctor I work in Italy and I am trying to go through life

luigidegregorio
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Answer is y/x^2+y^2.

Your second step d/dx(x/y) is not correct. The value will be 1/y. Ushouldmt apply u/v rule. U can apply only when u and v are functions of x and y..

varunkumar
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There is a problem in your second part d/dx(x/y).
Here, 1/y is taken as a constant because we differentiate w.r.t X .
If there is a (x with y in denominator) then we use first / second formula ....
❤🙏 ....
Just recheck sir and repost your video don't give wrong information ....
I have no intention of hurting you, I am just doing what is right 🙏❤️

AbhishekSingh-qmbr
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Sorry second line is difficult to catch ur point.

farhadhussain
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Something is wrong nominator m
-y hog

anshikaarya