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Math Help - Critical Number Help

  1. #1
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    Smile Critical Number Help

    Find the critical numbers of f(x) = (x^5)(e^-8x)

    Derivative is : f '(x) = 5x^4 * (e^-8x) + x^5 * (-8e^-8x)

    A critical number is whenever the derivative is either undefined or equal to zero.

    Thanks!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by TSizzle55 View Post
    Find the critical numbers of f(x) = (x^5)(e^-8x)

    Derivative is : f '(x) = 5x^4 * (e^-8x) + x^5 * (-8e^-8x)

    A critical number is whenever the derivative is either undefined or equal to zero.

    Thanks!
    yes, first off, this is defined everywhere. to find where we can have zero, begin by factorizing

    hint: x^4e^{-8x} is a common term
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