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What is the derivative of #e^1#?

Answer 1

Ezekiel Alexander

#0#

The derivative serves as a gauge for a function's rate of change.

Even though it may not look like a constant, like #4# or #-1/2#, #e^1# still has a calculable value that never changes.

Thus, the derivative of any constant, such as #e^1#, is #color(blue)0#.

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Answer 2

Charles Arocha

The derivative of (e^1) is (e^1), which equals approximately (2.71828).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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