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Math Help - Defintion of derivative

  1. #1
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    Defintion of derivative

    How do you get the derivative of 2(x)^(1/2) using the definition of derivative?
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    you

    you use the quotient differnece if you know what that is?
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    Yeah, but I always seem to get confused on how to fit f(x) into
    f '(x)=f(x+h)-f(x)/h
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    in this

    first off remeber it is the lim as x goes to o and in this case f(x+h)= 2(x+h)^{\frac{1}{2}} and f(x)= 2(x)^{\frac{1}{2}}...so it would be \frac{2(x+h)^{\frac{1}{2}}-2(x)^{\frac{1}{2}}}{h} the limit of that as h goes to 0
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