what is the derivative of x^e?

Question

do you take ln or do you just subtract a one

Answer 1

Im assuming you mean x^e^x?

if so you take the natural log of both sides and then differentiate both sides. The answer will end up being (e^x*ln(x) + (e^x)/x)*x^e^x

If you did indeed mean x^e^1

Then you would just do the basic power rule.. resulting in
e*x^(e-1)

Answer 2

e is a constant like 2 or 3, so derivative of x^e is just ex^(e-1).

Answer 3

it is e*x^(e-1)

Answer 4

ex^(e-1)