# What is the derivative of #sin^2(x) + sinx#?

##### 1 Answer

#### Explanation:

This derivative can be found by using the *chain rule*, the *power rule*, and the *sum rule*.

Notice that you can write your function as the *sum* of two other functions, let's say

The sum rule tells you that you can differentiate the sum of two functions as the sum of the derivatives of those two functions

In your case, you can write

It's always useful to remember that

This means that you have

Now focus on the derivative of *chain rule*, which states that the derivative of a function that depends on a variable

In your case, you have

Here is where the *power rule* comes into play. For a variable

This means that you have

Your original derivative now becomes

which can be written as