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Math Help - Implicit differentiation problem

  1. #1
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    Implicit differentiation problem

    Find dy/dx in terms of x and y

    ln(x+1) + ln(y+1) = x + y

    thanks any help is fab
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  2. #2
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    Quote Originally Posted by gracey View Post
    Find dy/dx in terms of x and y

    ln(x+1) + ln(y+1) = x + y

    thanks any help is fab
    Hi

    I would simply take the derivative (with respect to x) of the equality

    \frac{2x}{x^2+1} + \frac{y'}{y+1} = 1 + y'
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  3. #3
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    Hello, gracey!

    Exactly where is your difficulty?


    Find \frac{dy}{dx} in terms of x\text{ and }y

    . . \ln(x^2+1) + \ln(y+1) \:=\:  x + y
    Differentiate implicitly and solve for \frac{dy}{dx}

    . . \frac{2x}{x^2+1} + \frac{\frac{dy}{dx}}{u+1} \:=\:1 + \frac{dy}{dx} . . . .
    did you get this far?


    The rest is just algebra . . .

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