What is the d/(dt)(sqrt(t)) ?

The d/(dt)(sqrt(t)) is 1/(2sqrt(t))

What is the first d/(dt)(sqrt(t)) ?

The first d/(dt)(sqrt(t)) is 1/(2sqrt(t))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{1}{2 t}

Solution steps

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

Apply radical rule:

a = a^{\frac{1}{2}}

= \frac{d}{d t} (t^{\frac{1}{2}})

Apply the Power Rule:

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

= \frac{1}{2} t^{\frac{1}{2} - 1}

Simplify

\frac{1}{2} t^{\frac{1}{2} - 1} : \frac{1}{2 t}

= \frac{1}{2 t}

\int t^{- 3} d t

\int \frac{x ^{3}}{25 + x ^{2}} d x

f (x) = - 3 x^{2} + 12, at x = 3

8 x^{2} y + y^{^{'}} = 10 x^{2}

4 x^{3} - 33 x^{2} + 84 x - 60