What is the first derivative of-y/x ?

The first derivative of-y/x is -1/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-y/x

derivative of

- \frac{y}{x}

- \frac{1}{x}

Solution steps

\frac{d}{d y} (- \frac{y}{x})

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{1}{x} \frac{d y}{d y}

Apply the common derivative:

\frac{d y}{d y} = 1

= - \frac{1}{x} \cdot 1

Simplify

= - \frac{1}{x}

(3 x + 6 y) d x + (6 x - 8 y 3) d y = 0

x \to 0 lim (x^{2} cos (\frac{3}{x}))

\int x (3 x^{2} + 5)^{3} d x

\int \frac{5 x + 5}{4 x ^{2} + 17 x + 4} d x

\frac{d}{d x} (cos (x) sin (y))