Difficult# Conditions Required for a Differentiable Inverse

APCALC-49VFM9

Suppose that $f(x)$ is a function that is defined for all real numbers.

Which of the following conditions would assure that $f(x)$ has a differentiable inverse?

I.$f'(x) \gt 0$ for all values of $x$II.$f(x)$ is a strictly decreasing functionIII.$f(x)$ is an odd function