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

1 Answer
Jacob F.
Aug 4, 2014

dy/dx = 5e^(5x)

Process:

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^(5x), then, by the chain rule, the derivative will be equal to the derivative of e^(5x) with respect to 5x, multiplied by the derivative of 5x with respect to x.

dy/dx = d/dx[5x] * e^(5x)

dy/dx = 5 e^(5x)

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