What is the derivative of #g(x)=x^3 cos x#?
We essentially have
Thus, the Product Rule states that the derivative is equal to:
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
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!