en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

implicit x^2+y^2=c^2

Solution

implicit derivative

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

Solution

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

Solution steps

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

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

limit as x approaches-2 of (x^2+5x+6)/x

x \to - 2 lim (\frac{x ^{2} + 5 x + 6}{x})

integral of (2x+18)/(x^2+10x+24)

\int \frac{2 x + 18}{x ^{2} + 10 x + 24} d x

derivative of y=ln(9+x^2)derivative of

y = ln (9 + x^{2})

derivative of ((x^2+2x/(sin(x)))^3)

\frac{d}{d x} ((\frac{x ^{2} + 2 x}{sin ( x )})^{3})

integral of x^{-13}

\int x^{- 13} d x

Frequently Asked Questions (FAQ)

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