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

0

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

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The derivative is

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

Constant

Power rule plus chain rule

Exponential plus chain

So, in this case we get:

Logarithmic Differentiation

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.

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The derivative of ( e^{\pi} ) is ( 0 ).

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