# What is the derivative of #e^pi#?

##### 2 Answers

0

#### Explanation:

It's a constant function. This question is testing to see that you realize this.

The derivative is

#### Explanation:

I think it is worth pointing out to students that, while there is one correct answer to the question, "What is the derivative of function

Any legitimate way of thinking about the function and correctly applying the rules of differentiation will result in the correct answer.

**Constant**

If we are fortunale enough to recogize that

**Power rule plus chain rule**

We know that

In this case

**Exponential plus chain**

We know that

Looking at it this way, we have

So, in this case we get:

**Logarithmic Differentiation**

Let

But what if i didn't notice that

It's ok, when we find the derivative, we'll use the chain rule (again)

**The point** of my answer is not to confuse, but to tell students that any correct application of differentiation formulas will get the correct answer, and to show some of the possible applications of this general principle.