How do you find the derivative of a function containing e^x?

Aditya Mishra asked Mar 2, 2023

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Aditya Mishra asked Mar 2, 2023

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17 votes

Solution

For this case we can find the derivate on the following way:

$g^(\prime)(x)=\frac{e^x(2-x)-e^x(-1)^{}}{(2-x)^2}=(2e^x-xe^x+e^x)/((2-x)^2)=(3e^x-xe^x)/((2-x)^2)$

Porto Alet answered Mar 9, 2023

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