What is implicit (dy)/(dx),2xy=9 ?

The answer to implicit (dy)/(dx),2xy=9 is (dy)/(dx)=-y/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

implicit (dy)/(dx),2xy=9

implicit derivative

\frac{d y}{d x}, 2 x y = 9

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

Solution steps

2 x y = 9

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}

\frac{d}{d x} (tan (x) cos (x))

\frac{d}{d x} (e^{x + 1} + 4)

\frac{\partial}{\partial x} (tan (7 + 2 x^{2} y^{4} z^{2}))

1 - e^{c o s (1 - x^{2})}

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