Question

differentiate f(x) = e^sqrt(3x)

Answer 1

\[f'(x)=(\sqrt{3x})'e^{\sqrt{3x}}\]

Answer 2

Is there any way you can help me out step by step?

Answer 3

So you do not know how to differentiate sqrt(3x)?

Answer 4

Do you know how to differentiate sqrt(x)?

Answer 5

What I have so far is f '(x) = (e^(3x))(sqrt(3x))'

Answer 6

differentiating sqrt(3x) is where I am stuck

Answer 7

Well do you know to differentiate sqrt(x)?

Answer 8

\[\sqrt{3x}=\sqrt{3} \sqrt{x}\]

Answer 9

\[\frac{d}{dx} \sqrt{3x}=\sqrt{3} \frac{d}{dx} \sqrt{x}\]

Answer 10

recall sqrt(x) is x^(1/2)