Find the derivative of y=e^{5x}

Patricia Crane 2021-12-15 Answered
Find the derivative of y=e5x
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Expert Answer

Serita Dewitt
Answered 2021-12-16 Author has 41 answers
The derivative of ex is simply ex. However, x has a coefficient, so you have to use the chain rule.
If y=e5x by the chain rule, the derivative will be equal to the derivative of e5x with respect to 5x, multiplied by the derivative of 5x with respect to x.
dydx=ddx[5x]×e5x
dydx=5e5x

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Chanell Sanborn
Answered 2021-12-17 Author has 41 answers
ddx(e5x)
Apply the cahin rule:
=e5xddx(5x)
ddx(5x)=5
=e5x×5

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