What is the derivative of g(w)=10sqrt(w) ?

The derivative of g(w)=10sqrt(w) is 5/(sqrt(w))

What is the first derivative of g(w)=10sqrt(w) ?

The first derivative of g(w)=10sqrt(w) is 5/(sqrt(w))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

g (w) = 10 w

\frac{5}{w}

Solution steps

\frac{d}{d w} (10 w)

Take the constant out:

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

= 10 \frac{d}{d w} (w)

Apply radical rule:

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

= 10 \frac{d}{d w} (w^{\frac{1}{2}})

Apply the Power Rule:

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

= 10 \cdot \frac{1}{2} w^{\frac{1}{2} - 1}

Simplify

10 \cdot \frac{1}{2} w^{\frac{1}{2} - 1} : \frac{5}{w}

= \frac{5}{w}

\frac{\partial}{\partial x} (x^{4} y)

\int t \cdot sin (2 t) d t

(8 (5 x)^{4} + 5)^{3}

\frac{d}{d x} (\frac{1}{x ^{4}} - \frac{3}{x ^{2}} + x^{3})

\int \frac{1}{2 x ^{2} + 3} d x

What is the derivative of g(w)=10sqrt(w) ?
The derivative of g(w)=10sqrt(w) is 5/(sqrt(w))
What is the first derivative of g(w)=10sqrt(w) ?
The first derivative of g(w)=10sqrt(w) is 5/(sqrt(w))