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Question

If f(x)=xa t3et dt, then ddxf(x)= [MP PET 1989]


A
ex(x3+3x2)
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B
x3ex
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C

a3ex

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D

None of these

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Solution

The correct option is B x3ex

f(x)=xa t3et dt=0at3.et dt+x0t3etdt
df(x)dx=ddx(0a t3.et dt)+ddx(x0t3.et dt)=x3ex


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