Question

f(x)=e^2x. show the antiderivative and show its confirmation

Answer 1

\[\Large f(x) = e^{2x}\]
Derivative of e^[f(x)] is f'(x)e^[f(x)]
So all you need to do, is multiply e^2x by the derivative of 2x.

Answer 2

\[\huge \frac{ d }{ dx} e^{f(x)} = f'(x) * e^{f(x)}\]

Answer 3

Thanks what about e^x +2?

Answer 4

\[\Large e^x + 2\]or \[\Large e^{x +2}\]
For the first, just differentiate both parts... derivative of e^x is e^x, derivative of 2 is zero

For the second, use the rule i gave above.

Answer 5

its the first one.

Answer 6

but i'm suppose to show the antiderivative right? not just the derivative?