d/dx [e^(3√x)] =

Question

\(\frac{d}{dx}\)\([e^{3\sqrt x}]\)=

d/dx [e^3√x] =

(A) \(e^{3\sqrt x}\) 

(B) \(\frac{1}{\sqrt 3}\)\(e^{3\sqrt x}\)

(C) \(\frac{1}{2}x^{\frac{-2}{3}}\) . \(e^{3\sqrt x}\) 

(D) \(\frac{1}{2}x^{\frac{2}{3}}\) . \(e^{3\sqrt x}\) 

Answer 1

Option : (C) \(\frac{1}{2}x^{\frac{-2}{3}}\) . \(e^{3\sqrt x}\)