Find the derivative y=e^5x?

Question

What do i do with the e? does it work out to y'=e^5?

Answer 1

The derivative of e^x is just e^x dx, the same thing. but when you have something else in the exponent you have to apply the chain rule. So it's the derivative of e^(5x) times the derivative of 5x. This gives you y' = 5e^(5x).

I'm assuming here that you meant e^(5x) and not (e^5)x. If it's the latter, then yes, the derivative would just be e^5 because this is just a constant times x.

Answer 2

derivative of e^5 times[x] =e^5 now derivative of exp 5x-x=0 then e^0=1 then your der.. is e^5 times 1=?.done

Answer 3

Don't freak out, e is a constant, you are not going to do anything with it.
y=e^5x
y= (5x)'(e^(5x))
y'= 5 (e^(5x))

Get a TI-92, they do integrals, derivatives and most of all of calculus problems.

Best!

Answer 4

I've put a beautifully formatted PDF at the link below. It looks as it would in a textbook. Take a look. Just give it a second to load.
http://www.tomsmath.com/step-by-step-instructions-for-finding-the-derivative-of-e-to-the-5x.html

Answer 5

Rem : d/dx(e^u) = u' e^u
S0 d/dx [ e^5x] = 5 e^5x
Assuming that (5x) is the power of e

Answer 6

Derivative Of E

Answer 7

let u = 5x
du/dx = 5
y = e^u
dy/du = e^u
dy/dx = dy/du X du/dx
dy/dx = e^u X 5
dy/dx = 5.e^(5x)