# Derivatives of Even More Complicated Functions

How do we find the derivative of a function that's made of one function nested inside another, like

*e*^{sin x}

or

(ln *x*)^{42}?

The tool we need is called the **Chain Rule**. While the chain rule isn't always likeable at first, it grows on you. Once we've got the chain rule, we can also do something called **implicit differentiation**, which allows us to say some things about a function's derivative even if we aren't given a formula for that function. Clearly, our derivatives toolbox is growing.