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If f' (x) =xe^(x) and f(0)=1, find f(x)...

If f' (x) `=xe^(x)` and f(0)=1, find f(x)

Text Solution

Verified by Experts

The correct Answer is:
`f(x)=e^(x)(x-1)+2`
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Knowledge Check

  • If f(x)=x.e^(x(1-x)) , then f(x) is

    A
    increasing on `[-1/2,1]`
    B
    decreasing on R
    C
    increasing on R
    D
    decreasing on `[-1/2,1]`

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