# How do you differentiate #f(x)= (x + 7)^10 (x^2 + 2)^7 # using the product rule?

##### 1 Answer

**Product Rule:**

If we have two functions

**Chain Rule:**

If we have two functions,

Original Equation:

Use the chain rule to find the derivative of the first equation:

Now multiply by the second function:

Next, use the chain rule to find the derivative of the second equation:

Multiply by the first function:

Add together the two multiplied functions:

Factor out

Multiply and combine like terms for the factored section:

Put back the factors.

Your final answer should be: