What is implicit (dy)/(dx),4x^2+9y^2=36 ?

The answer to implicit (dy)/(dx),4x^2+9y^2=36 is (dy)/(dx)=-(4x)/(9y)

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implicit (dy)/(dx),4x^2+9y^2=36

implicit derivative

\frac{d y}{d x}, 4 x^{2} + 9 y^{2} = 36

\frac{d y}{d x} = - \frac{4 x}{9 y}

Solution steps

4 x^{2} + 9 y^{2} = 36

Treat

y

y (x)

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8 x + 18 y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{4 x}{9 y}

\frac{d y}{d x} = - \frac{4 x}{9 y}

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What is implicit (dy)/(dx),4x^2+9y^2=36 ?
The answer to implicit (dy)/(dx),4x^2+9y^2=36 is (dy)/(dx)=-(4x)/(9y)