Question

Derivative of e^2x

Answer 1

2e^2x

Answer 2

can u explain how u get that is it just using the power rule with the 2

Answer 3

\[\frac{d}{dx}e^{kx} = ke^{kx}\]

Answer 4

\[\LARGE (e^u)'=e^u\cdot u'\]

Answer 5

have you done the chain rule yet?

Answer 6

yea

Answer 7

so we differentiate e^u and then differentiate u and multiply them together

in this case u = kx so du/dx = k

Answer 8

i dont get it

Answer 9

which bit confuses you, the chain rule bit?

Answer 10

yea

Answer 11

ok ill explain it better than i did

Answer 12

is this how you learnt it?

\[\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}\]