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Popular >

implicit x^2+y^2=9

Solution

implicit derivative

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

Solution

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

Solution steps

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

Treat

y

as

y (x)

Differentiate both sides:

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

Isolate

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

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

Popular Examples

integral from 1 to 4 of 6sqrt(x)

\int_{1}^{4} 6 x d x

integral of sqrt((x^3+1))

\int (x^{3} + 1) d x

derivative of (dy/(dx))+3y=0

\frac{d}{d x} (\frac{d y}{d x}) + 3 y = 0

(\partial)/(\partial x)(16sqrt(3x))

\frac{\partial}{\partial x} (16 3 x)

tangent of f(x)=7sqrt(x),\at x=16 tangent of

f (x) = 7 x, at x = 16

Frequently Asked Questions (FAQ)

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