Differentiation Question 248

Question: $ \frac{d}{dx}(x{e^{x^{2}}})= $

[DSSE 1981]

Options:

A) $ 2x^{2}e^{x^{2}}+e^{x^{2}} $

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

C) $ e^{x}.2x^{2}+e^{x^{2}} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{d}{dx}( x{e^{x^{2}}} )={e^{x^{2}}}+x{e^{x^{2}}}2x={e^{x^{2}}}(1+2x^{2}) $ .