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Math Help - Help with a question...

  1. #1
    TGS
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    Help with a question...

    If f(x) = 5^x, show that

    f(x + h) - f(x)/ h = 5^x (5^h - 1) / h



    Please help.
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  2. #2
    MHF Contributor
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    Quote Originally Posted by TGS View Post
    If f(x) = 5^x, show that

    f(x + h) - f(x)/ h = 5^x (5^h - 1) / h
    f(x) = 5^x

    f(x+h) = 5^{x+h}

    \frac{f(x+h) - f(x)}{h} = \frac{5^{x+h} - 5^x}{h} = \frac{5^x \cdot 5^h - 5^x}{h} = \frac{5^x(5^h - 1)}{h}
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