Need some help on this one.
Let f(x)= x^2 e^x^2, x in R.
Show f^-1 exists and is differentiable on (0, infinity)
Thanks.
Theorem: Let be a one-to-one function on an open interval , and let . If is differentiable at and if , then is differentiable at and
are those conditions fulfilled here?
now actually showing that the inverse function exists is another story. we have to cross that bridge before we use the above theorem