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Math Help - How to use the difference quotient..

  1. #1
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    How to use the difference quotient..

    How do i use the difference quotient to find the first derivative of f(x) = x^{5}?
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Manizzle View Post
    How do i use the difference quotient to find the first derivative of f(x) = x^{5}?
    That is what I call tedious, you merely have to find

    \lim_{\Delta{x}\to{0}}\frac{\left(x+\Delta{x}\righ  t)^5-x^5}{\Delta{x}}

    Give it a try and report back...the answer should be 5x^4
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