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Math Help - 1st and 2nd deriviative

  1. #1
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    1st and 2nd deriviative

    Can someone help me find the first and second derivative of this function. I did it but my answer had a ton of decimals. (something like 2048x^3 -15656.84 etc...)
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  2. #2
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    Quote Originally Posted by lilwayne View Post
    Can someone help me find the first and second derivative of this function. I did it but my answer had a ton of decimals. (something like 2048x^3 -15656.84 etc...)
    Put k = 3.2 and t = 10.24, now find the first and the second derivative of \frac{4x-k}{(4x-t)^2}
    When you've done that, put k and t back to their values. Does that make it easier?
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  3. #3
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    Use the quotient rule, what did you get?
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  4. #4
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    i have to simplify it down because i gotta do curve sketching but i'm having problems
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  5. #5
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    Show some working my friend, where are you stuck?

    \displaystyle g'(x)  = \frac{(4x-10.24)^2(4x-3.2)'-(4x-3.2)((4x-10.24)^2)'}{[(4x-10.24)^2]^2} = \dots
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  6. #6
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    yeah i got that, oh whoops the teacher said no factoring lol...

    I have g'(x) = 4(4x-10.24)^2 - (4x-3.2)*2(4x-10.24)(4)

    but i'm supposed to solve this.. and i don't know how
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  7. #7
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    Just do it slowly, step by step using the product/quotient rule.

    If you're having trouble using the quotient rule, you can rewrite the function as (4x-3.2)(4x-10.24)^(-2) and solve using the product rule instead.
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