How do you find the derivative of y=e^(5x)?



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How to find the derivative of y = e 5 x ?

Answer & Explanation

Tiffany Griffin

Tiffany Griffin

Beginner2023-03-25Added 4 answers

The derivative of e x is simply e x . However, in this example, x has a coefficient, so we will need to use the chain rule.
If y = e 5 x , then, by the chain rule, the derivative will be equal to the derivative of e 5 x with respect to 5x, multiplied by the derivative of 5x with respect to x.
d y d x = d d x [ 5 x ] e 5 x
d y d x = 5 e 5 x

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