What is the first d/(dy)(-x/y) ?

The first d/(dy)(-x/y) is x/(y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

d/(dy)(-x/y)

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

\frac{x}{y ^{2}}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= - x \frac{d}{d y} (y^{- 1})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - x (- 1 \cdot y^{- 1 - 1})

Simplify

- x (- 1 \cdot y^{- 1 - 1}) : \frac{x}{y ^{2}}

= \frac{x}{y ^{2}}

x \to \infty lim (a x^{2})

\int \frac{3 x}{e ^{x}} d x

\frac{d}{d x} (x^{2} sin (\frac{1}{a x}))

x \to 1 - lim (\frac{2}{x ^{2} - 1})

\frac{d}{d x} (e^{- \frac{1}{2} x^{2}})