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Math Help - Slope of tangeant question

  1. #1
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    Slope of tangeant question

    Can't figure this out, solve for the derivitive using first principles
    2/(x+5)^1/2
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  2. #2
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    Quote Originally Posted by Shout View Post
    Can't figure this out, solve for the derivitive using first principles
    2/(x+5)^1/2
    \displaystyle f(x) = \frac{2}{\sqrt{x+5}}

    \displaystyle f(x+h) = \frac{2}{\sqrt{(x+h) +5}}


    \displaystyle f'(x) = \lim_{h \to 0} \frac{1}{h} \left(\frac{2}{\sqrt{(x+h) + 5}} - \frac{2}{\sqrt{x+5}}\right)

    now do the grunt work algebra ... start by combining the two fractions in ( ) , then rationalize the numerator.
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