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Thread: Quick Calculus Question

  1. November 12th 2006, 08:14 PM #1
    Nimmy
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    Exclamation Quick Calculus Question

    Find the dervative of 7x-6/y
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  2. November 12th 2006, 08:27 PM #2
    Soltras
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    With respect to what?

    Are those both functions of some variable? Is y a function of x?
    I'll assume for now that they are both functions of t.

    Then \frac{d}{dt} \left( 7x - \frac{6}{y} \right) = 7 \cdot \frac{dx}{dt} + \frac{6}{y^2} \cdot \frac{dy}{dt}.

    I hope that's what you're after.
    Last edited by Soltras; November 13th 2006 at 05:49 AM. Reason: fix error :o
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  3. November 12th 2006, 10:06 PM #3
    Nimmy
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    Exclamation

    Yes it is y is a function of x


    the equation is wrong it is: (7x-6)/(y)
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  4. November 13th 2006, 03:21 AM #4
    topsquark
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    Quote Originally Posted by Nimmy View Post
    Yes it is y is a function of x


    the equation is wrong it is: (7x-6)/(y)
    Please use parenthesis!

    So this is implicit differentiation then?

    By the quotient rule:
    \frac{d}{dx} \frac{7x - 6}{y} = \frac{(7)y - (7x-6)y'}{y^2}

    = \frac{-7xy' + 6y' + 7y}{y^2}


    -Dan
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