# What are the first and second derivatives of #f(x)=5^((x^5)-9x)#?

##### 1 Answer

Following the rule to differentiate exponential functions:

#### Explanation:

We'll rename

Substituting

As for the second derivative, we must see we have a three terms product. To differentiate it, we'll consider two of them as one, in a sort of chain rule, and then derivate these two as well, as shown in the formula below:

Let's just identify things here. Following the general formula:

As zero cancels the product of the second term, we have left: