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Popular Calculus >

implicit x^2+8y^2=8

Solution

implicit derivative

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

Solution

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

Solution steps

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

Treat

y

as

y (x)

Differentiate both sides:

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

Isolate

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

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

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Frequently Asked Questions (FAQ)

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