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Math Help - derivative.. problem

  1. #1
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    derivative.. problem

    Please help,
    I have been trying to do this for days
    what is the derivative of (sinxe^x)/(x^2)
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  2. #2
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    Quote Originally Posted by BadMonkey View Post
    Please help,
    I have been trying to do this for days
    what is the derivative of (sinxe^x)/(x^2)
    Write it as (sin x)(e^x)(x^{-2}) and use the fact that (fgh)'= (fg)'h+ (fg)h'= (f'g+ fg')h+ (fg)h'= f'gh+ fg'h+ fgh'.

    (sin x)'= cos x, (e^x)'= e^x, and (x^{-2})'= -2x^{-3}

    the derivative of \frac{sin x e^x}{x^2} is cos x e^x x^{-2}+ sin x e^x x^{-2}-2 sin x e^x x^{-3}
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