What is the first d/(ds)(t/s) ?

The first d/(ds)(t/s) is -t/(s^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

d/(ds)(t/s)

\frac{d}{d s} (\frac{t}{s})

- \frac{t}{s ^{2}}

Solution steps

\frac{d}{d s} (\frac{t}{s})

Treat

t

as a constant

Take the constant out:

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

= t \frac{d}{d s} (\frac{1}{s})

Apply exponent rule:

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

= t \frac{d}{d s} (s^{- 1})

Apply the Power Rule:

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

= t (- 1 \cdot s^{- 1 - 1})

Simplify

t (- 1 \cdot s^{- 1 - 1}) : - \frac{t}{s ^{2}}

= - \frac{t}{s ^{2}}

\int (x^{\frac{5}{6}}) d x

\int 30 x^{\frac{3}{2}} d x

y^{^{'}} + 5 y = 10

\int \frac{2 x ^{3} - 4 x ^{2} - 15 x + 5}{x ^{2} - 2 x - 8} d x

\frac{\partial}{\partial z} (x yz)