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Math Help - Find y^11 by implicit differentiation

  1. #1
    vix
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    Find y^11 by implicit differentiation

    x^3 + y^3 = 1

    please explain step by step thnx
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by vix View Post
    x^3 + y^3 = 1

    please explain step by step thnx
    \frac{d}{dx}(x^3+y^3)=\frac{d}{dx}(1)

    Key point:: y is a function of x so we have to use the chain rule

    \frac{d}{dx}x^3+\frac{d}{dx}y^3=\frac{d}{dx}(1)

    3x^2+3y^2\frac{dy}{dx}=0 \iff 3y^2\frac{dy}{dx}=-3x^2 \iff \frac{dy}{dx}=-\frac{x^2}{y^2}
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