What is implicit x/y+y/x =3piab^2 ?

The answer to implicit x/y+y/x =3piab^2 is (dy)/(dx)= y/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

implicit x/y+y/x =3piab^2

implicit derivative

\frac{x}{y} + \frac{y}{x} = 3 πa b^{2}

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

Solution steps

\frac{x}{y} + \frac{y}{x} = 3 πa b^{2}

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

What is implicit x/y+y/x =3piab^2 ?
The answer to implicit x/y+y/x =3piab^2 is (dy)/(dx)= y/x