# How do you use the Product Rule to find the derivative of #3x(2x-1)^3#?

##### 1 Answer

#### Answer:

#### Explanation:

To be able to use the product rule to differentiate this function, you need to write it as a product of two *other functions*, let's say

#y = f(x) * g(x)#

This will allow you to use the formula

#color(blue)(d/dx(y) = [d/dx(f(x))] * g(x) + f(x) * d/dx(g(x)))#

In your case, you have

This means that you can write

To calculate

Your target derivative will thus be

This can be further simplified to