In other math, what does the Inverse Function Theorem state?

A$)$ It guarantees the existence of an inverse function for any continuous function.

B$)$ It asserts that the derivative of the inverse function is the reciprocal of the derivative of the original function.

C$)$ It ensures that the product of two functions is invertible if both functions are invertible.

D$)$ It states that any function with a nonzero derivative is invertible.