What is the derivative of 12sqrt(x) ?

The derivative of 12sqrt(x) is 6/(sqrt(x))

What is the first derivative of 12sqrt(x) ?

The first derivative of 12sqrt(x) is 6/(sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

12 x

\frac{6}{x}

Solution steps

\frac{d}{d x} (12 x)

Take the constant out:

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

= 12 \frac{d}{d x} (x)

Apply radical rule:

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

= 12 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 12 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

12 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{6}{x}

= \frac{6}{x}

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

\int \frac{7}{1 + x ^{2}} d x

x \to 3 lim (x^{2} + 5)

\frac{( s - 5 )}{( s ^{2} + 4 s + 20 )}

y^{^{'}} + 8 y = 56

What is the derivative of 12sqrt(x) ?
The derivative of 12sqrt(x) is 6/(sqrt(x))
What is the first derivative of 12sqrt(x) ?
The first derivative of 12sqrt(x) is 6/(sqrt(x))