A) 0
B) 1
C) \[\frac{7}{3}{{e}^{{{x}^{2}}}}\]
D) None of these
Correct Answer: B
Solution :
We have \[f(x)=3{{e}^{{{x}^{2}}}}.\]Differentiating w.r.t. x, we get \[f'(x)=6x{{e}^{{{x}^{2}}}}\]; \[\therefore f(0)=3\]and\[f'(0)=0\] Þ\[f'(x)-2xf(x)+\frac{1}{3}f(0)-f'(0)\] \[=6x{{e}^{{{x}^{2}}}}-6x{{e}^{{{x}^{2}}}}+\frac{1}{3}(3)-0=1\] .You need to login to perform this action.
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