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Math Help - Quotient Rule, differentiate the function

  1. #1
    Junior Member
    Joined
    Jun 2008
    Posts
    48

    Quotient Rule, differentiate the function

    Hi Everyone,

    This question is about the quotient rule, I'm stuck for how to develop it!

    Here is the question and my answer:

    Write down the derivative of each of the functions
    f(t)= t^4 +5 and g(t) = ln(3t) (t>0).

    Derivative:
    f (t) = 4t3+5
    g (t) = 1/3t


    Hence, by using the Quotient Rule, differentiate the function
    k(t)= t4+5 (t > 1/3).
    ln(3t)


    Quotient rule:
    k (t) = g(x) f (x) f(x) g (x)
    (g(x))2


    k (t) = (In(3t)) (4t3) (t4+5) (1/3t)
    (In(3t))2e


    I don't think I'm doing it right. How to differentiate the function with the quotient rule? that is as far I did it

    Can someone help me
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  2. #2
    Newbie
    Joined
    Jun 2008
    Posts
    18
    Hello Valerie

    Flying squirrel helped me with quotient rule, hopefully now I can help you!

    I think g'(t) = 1/t as U=3t gives du/dt=3 and dg/du=1/u. using chain rule 3/3t gives 1/t.

    Your initial f't should be 4t^3 but it was ok when inserted in formula.

    hopefully this is right, i'm sure someone will correct if not, they are very good on here!
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