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Thread: Solving for the derivative

  1. #1
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    Solving for the derivative

    Not sure what this is called, but basically trying to derive the actual derivative of the function $\displaystyle F(x)=3x^2 at (-2, 12)$

    I would need to find $\displaystyle F(-2+h)$ which I got to as $\displaystyle 3h^2-12h+12$ and then plugging it into the slope formula. This is where I'm getting confused.

    What I did:$\displaystyle M=((3h^2-12h+12)-12)/h$

    Is that correct? I know the derivative is $\displaystyle 6x$ but I'm a little confused on getting to it on this question. Thanks!
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  2. #2
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    You are right there. Do not stop.
    Divide out the h. Then let $\displaystyle h\to 0$.
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  3. #3
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    Quote Originally Posted by Plato View Post
    You are right there. Do not stop.
    Divide out the h. Then let $\displaystyle h\to 0$.
    Ah, I see it now. Not sure why I was getting confused>.< Thanks a lot!
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