Differentiation Question 319

Question: $ \frac{d}{dx}({e^{x^{3}}}) $ is equal to

[RPET 1995]

Options:

A) $ 3x{e^{x^{3}}} $

B) $ 3x^{2}{e^{x^{3}}} $

C) $ 3x{{( {e^{x^{3}}} )}^{2}} $

D) $ 2x^{2}{e^{x^{3}}} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{d}{dx}(e^{x^{3}})=e^{x^{3}}.\frac{d}{dx}(x^{3})=3x^{2}.e^{x^{3}} $ .