What is implicit 8x^2+7y^2=56 ?

The answer to implicit 8x^2+7y^2=56 is (dy)/(dx)=-(8x)/(7y)

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implicit 8x^2+7y^2=56

implicit derivative

8 x^{2} + 7 y^{2} = 56

\frac{d y}{d x} = - \frac{8 x}{7 y}

Solution steps

8 x^{2} + 7 y^{2} = 56

Treat

y

y (x)

Differentiate both sides:

16 x + 14 y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{8 x}{7 y}

\frac{d y}{d x} = - \frac{8 x}{7 y}

What is implicit 8x^2+7y^2=56 ?
The answer to implicit 8x^2+7y^2=56 is (dy)/(dx)=-(8x)/(7y)