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# differentiate exponential functions watch

1. how do you differentiate 3e^2x?

i know it invovles the chain rule

let u=2x

you then get 3e^u, then i get suck

how would you differentiate that with respect to u?

probably really easy, but ive got a mental block.
2. (Original post by hodgey90)
how do you differentiate 3e^2x?

i know it invovles the chain rule

let u=2x

you then get 3e^u, then i get suck

how would you differentiate that with respect to u?

probably really easy, but ive got a mental block.
du/dx = 2

d/du (3e^u) = 3e^u

d/dx = 6e^u
3. oh, the coefficient doesnt change a thing on the exponential function!
so when you differentiate its the same, like e^x?
4. (Original post by hodgey90)
oh, the coefficient doesnt change a thing on the exponential function!
so when you differentiate its the same, like e^x?
yes
5. there's a constant coefficient in front of e^x too; 1
6. thank you!
7. When differentiating any function a leading coefficient does not affect you.

ie

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