# If #f(x)= 9sin(sinx^2)#, then what is #f^'(x)#?

##### 1 Answer

#### Explanation:

Start by breaking down your function - this will give you an idea about what you need to use to differentiate it

From the looks of it, you're going to need to use the chain rule *twice* to differentiate

The chain rule tells you that you can differentiate a function that is actually the *composition* of two other functions like this

Another important thing to remember is that

So, you have

This can be differentiated like this

Now you need to use the chain rule for a second time, since you have

This time, you can write

Your original derivative now becomes

which is equal to