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Math Help - Derivative

  1. #1
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    Derivative

    Calculate the derivative of the following function at the given points:

    F(x)= 3x^2 xo=2

    I am struggling with setting the problem up. Can someone please help me?? Thanks!!!
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  2. #2
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    Quote Originally Posted by skweres1 View Post
    Calculate the derivative of the following function at the given points:

    F(x)= 3x^2 xo=2

    I am struggling with setting the problem up. Can someone please help me?? Thanks!!!
    What is the derivative of x^2 with respect to x?
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by skweres1 View Post
    Calculate the derivative of the following function at the given points:

    F(x)= 3x^2 xo=2

    I am struggling with setting the problem up. Can someone please help me?? Thanks!!!
    Are you allowed to use the short cut formulas or the limit definition?

    If you can use the short cuts, apply the rule \frac{d}{dx}\left[x^n\right]=nx^{n-1} when finding f^{\prime}(x). Then evaluate at x_0=2

    If you are supposed to use the limit definition, then evaluate \lim_{h\to0}\frac{f(2+h)-f(2)}{h}=\lim_{h\to0}\frac{3(2+h)^2-3(2)^2}{h}.

    Does this make sense? Can you finish the problem?
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  4. #4
    Junior Member BobBali's Avatar
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    The derivative of [tex]F(x) = 3x^

        F(x)' = 6x

    to find the derivative given an x-coordinate, say x=2
    simply substitute x into the derived function above

    F(2) = 6*2 = 12
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  5. #5
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    Yes THANK YOU!!!
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