Derivative of a^x

in MES Science6 years ago (edited)

In this video I go over the proof of the derivative of ax or the general exponential function as well as explaining why the function ax is only defined for when a is greater than 0.


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Derivative of ax

Derivative of a^x.jpeg

If a > 0, then:

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Note that if a < 0, then we have the following undefined scenario:

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Recall Definition: ax = ex ln a

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