What is implicit (dy)/(dx),2xy=5 ?

The answer to implicit (dy)/(dx),2xy=5 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 (dy)/(dx),2xy=5

implicit derivative

\frac{d y}{d x}, 2 x y = 5

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

Solution steps

2 x y = 5

Treat

y

y (x)

Differentiate both sides:

2 (y + x \frac{d y}{d x}) = 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 (dy)/(dx),2xy=5 ?
The answer to implicit (dy)/(dx),2xy=5 is (dy)/(dx)=-y/x