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If f(x) = a^x.e^(x^2) then find f'(x)...

If `f(x) = a^x.e^(x^2)` then find `f'(x)`

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The correct Answer is:
A, B
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Knowledge Check

  • For a differntiable function , define D^(**)f(x) = L t_(h to 0) (f^2(x + h) - f^2(x))/(h) where f'(x) = (f(x))^2 for example, D^(**)f(x) = 2x if f(x) = x, D^(**)f(x) = 2 sin x cos x if f(x) = sin xD^(**)f(x) = 2e^(2x) if f(x) = e^(x) If f(x) = x^2 e^(-x) then D^(**)f(x) = 2x

    A
    `2x^2 e^(-2x)(2x - x^2)`
    B
    `2x^2 e^(-x)(2x - x^2)`
    C
    `2x^2e^(-x)(2x + x^2)`
    D
    `2x^2 e^(-2x)(2x + x^2)`

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