Are the following statements True or False?

? 1. When co is not in the domain of f(x ), we cannot automatically assume that f (x ) has a vertical asymptote there; instead, we need to find out what lim f(x ) and lim f(x) are. ? 2. Implicit differentiation is typically used when we are trying to compute the derivative of a function given by a complex formula y = f(x). 3. If f is even, then f' is even. ? 4. If we already know the derivative of an invertible function f, then one logical way to try to find the derivative of its inverse f is to use implicit differentiation and the Chain Rule on the equation f(f (x) ) = x