What is the derivative of 7sqrt(x-2) ?

The derivative of 7sqrt(x-2) is 7/(2sqrt(x-2))

What is the first derivative of 7sqrt(x-2) ?

The first derivative of 7sqrt(x-2) is 7/(2sqrt(x-2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (7 x - 2)

\frac{7}{2 x - 2}

Solution steps

\frac{d}{d x} (7 x - 2)

Take the constant out:

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

= 7 \frac{d}{d x} (x - 2)

Apply the chain rule:

\frac{1}{2 x - 2} \frac{d}{d x} (x - 2)

= \frac{1}{2 x - 2} \frac{d}{d x} (x - 2)

\frac{d}{d x} (x - 2) = 1

= 7 \cdot \frac{1}{2 x - 2} \cdot 1

Simplify

7 \cdot \frac{1}{2 x - 2} \cdot 1 : \frac{7}{2 x - 2}

= \frac{7}{2 x - 2}

What is the derivative of 7sqrt(x-2) ?
The derivative of 7sqrt(x-2) is 7/(2sqrt(x-2))
What is the first derivative of 7sqrt(x-2) ?
The first derivative of 7sqrt(x-2) is 7/(2sqrt(x-2))