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Popular >

implicit x^2+y^2=25

Solution

implicit derivative

x^{2} + y^{2} = 25

Solution

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

Solution steps

x^{2} + y^{2} = 25

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 2 of x(x-1)^9

\int_{1}^{2} x (x - 1)^{9} d x

limit as h approaches 1-of (h-2)/(1-h)

h \to 1 - lim (\frac{h - 2}{1 - h})

integral of tan(6x)sec^2(6x)

\int tan (6 x) sec^{2} (6 x) d x

y^'+5y=t+e^{-4t}

y^{^{'}} + 5 y = t + e^{- 4 t}

maclaurin arctan(5x)maclaurin

arctan (5 x)

Frequently Asked Questions (FAQ)

What is implicit x^2+y^2=25 ?
The answer to implicit x^2+y^2=25 is (dy)/(dx)=-x/y