# How do you differentiate #f(x)=x^7sqrt(4x^2+7)# using the product rule?

##### 1 Answer

#### Answer:

#### Explanation:

Let

The derivative of

We must therefore differentiate both

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We differentiate

Letting

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We now have all the information we need to apply the product rule.

This can be simplified further, but I'll leave the algebra to you.

Hopefully this helps!