# How do you differentiate #2x^4 * 6^(3x)#?

##### 1 Answer

#### Explanation:

You can either use the product / chain rule, or implicit differentiation with logarithms. Since you've posted this in Basic Differentiation Rules, I'll be using the chain rule.

Given that

We need to find the derivatives of each term to apply the product rule, so, for the first term we have

For the second term we have

Decomposing it, we have two functions

The chain rule state that

Or,

So, using the product rule we have

Or

Doing implicit differentiation with logarithms,