Question

what is the derivative of y=2e^3x

Answer 1

use product rule

Answer 2

is it y'=6e^3x

Answer 3

y = 2e^(3x)
y* = 2e^(3x) * 3
y* = 6e^(3x)

Answer 4

You can't use the product rule because you don't have two factors.

Answer 5

\[y=2e^{3x}\]
\[\frac{d}{dx} y=\frac{d}{dx} 2e^{3x}\]
\[\frac{dy}{dx}=2 e^{3x} \frac{d}{dx} 3x\]
\[\frac{dy}{dx}=2 e^{3x} \times 3=6e^{3x}\]

Answer 6

okay i got it, thanks.

Answer 7

oh i assumed it was 2e^3 * x

Answer 8

rishi - to avoid confusion it might be better if , in an instant like this, you write it as
2 e^(3x)

Answer 9

ok