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}} $ .