# How do you differentiate #f(x) = (tan(x-7))/(e^(2x)-4)# using the quotient rule?

##### 1 Answer

The answer is

#### Explanation:

So, let's go ahead and plug in everything into the quotient rule:

For

So, all we need to do now is plug in

Now, the most tedious part is done. The last trick is to calculate the two derivatives.

Firstly, we need to find the derivative of

*Note: you technically need to use the chain rule here, and multiply #sec^2(x-7)# by the derivative of #x-7#, but since the derivative of #x-7# is 1, we can ignore it.*

Lastly, we need to find the derivative of

So, plugging those in, we have the final answer:

Now, you could distribute the

Hope that helped :)