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Thread: Finding roots of an exponential function

  1. #1
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    Finding roots of an exponential function

    Hello,

    In this problem i must take the drivite of $\displaystyle f(x) = x^2*e^x $,

    which i gather is $\displaystyle 2xe^x+x^2e^x $

    Next I must set f(X) to zero. However, I do knpow how to solve for roots on this function. Any help?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by skyslimit View Post
    Hello,

    In this problem i must take the drivite of $\displaystyle f(x) = x^2*e^x $,

    which i gather is $\displaystyle 2xe^x+x^2e^x $

    Next I must set f(X) to zero. However, I do knpow how to solve for roots on this function. Any help?
    In solving $\displaystyle 2xe^x+x^2e^x=0$, take note that $\displaystyle e^x\neq0~\forall x\in\mathbb{R}$

    So divide both sides by $\displaystyle e^x$, and we're left with $\displaystyle 2x+x^2=0$

    I'm sure you can take it from here.

    --Chris
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