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Math Help - Slopes of the function

  1. #1
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    Bathurst Australia
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    Question Slopes of the function

    Doing calculus.

    HSC

    Just started it. We have the question f(x)=x^3 using

    lim f(x+h)-f(x)
    h->0 h

    f(x+h)= (x+h) =x+3xh+3xh+h

    lim x+3xh+3xh+h-x
    h->0 h

    = 3xh+3xh+h
    h

    = h(3x+3xh+h)
    h

    = 3x+3xh+h

    I got it to there. what more has to be done.

    I thought using h->0 would take it to this

    lim 3x+3xh+h
    h->0

    So the h in the equation would become 0 and leave the equation at 3x

    Is this corerct?

    Sorry it's a bit all over the place
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  2. #2
    MHF Contributor

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    Yes, that is correct. Good work!
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  3. #3
    Newbie
    Joined
    Nov 2008
    From
    Bathurst Australia
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    Re:

    Thankyou so much.

    Wasn't sure if it was correct or not.

    Glad you could make sense of it.

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