What is the derivative of 8sqrt(x) ?

The derivative of 8sqrt(x) is 4/(sqrt(x))

What is the first derivative of 8sqrt(x) ?

The first derivative of 8sqrt(x) is 4/(sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

8 x

\frac{4}{x}

Solution steps

\frac{d}{d x} (8 x)

Take the constant out:

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

= 8 \frac{d}{d x} (x)

Apply radical rule:

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

= 8 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 8 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

8 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{4}{x}

= \frac{4}{x}

\int \frac{3 x}{1 - 4 x ^{2}} d x

\int 1 + 9 - x^{2} d x

f (x) = x^{3} - 3 x^{2} - 9 x + 2

\int_{1}^{b} \frac{1}{x ^{2}} d x

\int sin (x + 4) d x

What is the derivative of 8sqrt(x) ?
The derivative of 8sqrt(x) is 4/(sqrt(x))
What is the first derivative of 8sqrt(x) ?
The first derivative of 8sqrt(x) is 4/(sqrt(x))