# What is the derivative of #g(x)=x^3 cos x#?

##### 1 Answer

#### Answer:

#### Explanation:

Since **Product Rule** to find the derivative.

We essentially have

Thus, the Product Rule states that the derivative is equal to:

To differentiate **Power Rule**, where the exponent becomes the coefficient, and we decrement the power. Thus,

And from our knowledge of derivatives of trig functions

We can now plug these values into the product rule expression to get

We can rewrite this as

Thus,

If the Power or Product Rules seem foreign to you, I encourage you to Google them or go to Khan Academy to understand them more.

Hope this helps!