What is the Derivative of the Inverse of a Polynomial?

[hechen]

1. I am having trouble finding a inverse of a polynomial.
[URL]http://img218.imageshack.us/i/problemqk.png/[/URL]
http://img218.imageshack.us/i/problemqk.png/

 

[transphenomen]

I cannot be sure you have seen this but the Inverse Function Theorem would apply here.

<br /> \frac{d(f^-1(b)}{dx} = \frac{1}{\frac{df(a)}{dx}} <br />

where

<br /> f(a) = b <br />

 

[tiny-tim]

welcome to pf!

hi hechen! welcome to pf!

(try using the X² icon just above the Reply box )

hint: d/dx (f^-1(f(x)) = … ?