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

##### 1 Answer

Aug 29, 2014

*The derivative of #y=tan(x^2)# is #(dy)/(dx) = (2x)[sec^2(x^2)]#*

In solving this problem, we will have to make use of the **chain rule**, which states that for a function

In this case,

Via the power rule we know that

Thus, by using the chain rule shown above, we obtain: