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Math Help - Second Derivative

  1. #1
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    Second Derivative

    What is the second derivitive of f(x)=x-4/3x+2
    I have the first derivitive, which is f'(x)=-10/(3x+2)^2
    If that's right, then what is the second derivitive... I'm sketching graphs for ap cal
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  2. #2
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    You pretty much do what you did to get the first derivative again

    f'(x)\frac{-10}{(3x+2)^2}<br />

    into

    \frac{(3x-2)^2-(2)(3x+2)(3)(-10)}{(3x+2)^3}

    I think I did that right hahaha. Basically you take the denominator into the numerator and use the chain rule again and get all that goobley gook up there just use your \frac{h(x)g'(x)-h'(x)g(x)}{h(x)^2} formula again. This of course creates steps that can sort of have you making mistakes here and there so make sure to double check you work and plot a few points
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  3. #3
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    Thing is I have to use the fricken quotient rule.
    So that is what's going on there... Lol and how are you using the fancy text? /jealousy.
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  4. #4
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    I know how you feel. I dread division as it adds more steps into the process and I worry I'm going to gunk stuff up somewhere.

    The "fancy text" is a forum function. When replying there's a Sigma symbol at the top (looks like a funky looking E thing) and it'll create "math brackets" you than do your formula in there. There are certain codes with some problems like division problems are written "/frac {}{}" with the variables in the numerator in the first {} and denominator in the second{}. I'm sure someone can direct you to a tutorial or FAQ that has it somewhere around here hahaha. I'm sort of new
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  5. #5
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    Quote Originally Posted by Muhammed Ali View Post
    What is the second derivitive of f(x)=x-4/3x+2
    I have the first derivitive, which is f'(x)=-10/(3x+2)^2
    If that's right, then what is the second derivitive... I'm sketching graphs for ap cal
    The question has been more or less asked (and very well answered) here.
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