# What is the derivative of #y=tan(x^2)#?

##### 1 Answer

You would use the [chain rule] for this

The derivative of a composite function F(x) is:

(Where

Or, in words:

the derivative of the outer function (with the inside function left alone!) **times** the derivative of the inner function.

In this case

The derivative of the outer function (leaving the inner function alone) is:

Then, the derivative of the inner function is:

Combining the two by multiplying them together, we get: