## MrOrbit 2 years ago Let k(x) = x^5 + 3x -2 and let k^-1 denote the inverse of k. Then, find (k^-1)'(2)

1. mukushla

actually in such cases u dont need to find the inverse itself and differentiate it... so what is the formula for the derivative of inverse?

2. mukushla

$(f^{-1}(x))'=\frac{1}{f'(f^{-1}(x))}$am i right ?

3. dpaInc

yes...

4. mukushla

ok i gotta go but here are some hints for u MrOrbit$(f^{-1})'(2)=\frac{1}{f'(f^{-1}(2))}$so all that u need is finding$f^{-1}(2)$for reaching there note that$f(1)=2$