What is the derivative of f(x)=12sqrt(x) ?

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

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

The first derivative of f(x)=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

f (x) = 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}

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

\frac{d y}{d x} = 15 - \frac{3 y}{290}

x \to 0 lim (sin (\frac{4}{x}))

\frac{d y}{d x} = x y + \frac{x}{y}

\int (x^{e} + e^{x}) d x

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