What is the derivative of 3x-5sqrt(x) ?

The derivative of 3x-5sqrt(x) is 3-5/(2sqrt(x))

What is the first derivative of 3x-5sqrt(x) ?

The first derivative of 3x-5sqrt(x) is 3-5/(2sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (3 x - 5 x)

3 - \frac{5}{2 x}

Solution steps

\frac{d}{d x} (3 x - 5 x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 x) - \frac{d}{d x} (5 x)

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (5 x) = \frac{5}{2 x}

= 3 - \frac{5}{2 x}

What is the derivative of 3x-5sqrt(x) ?
The derivative of 3x-5sqrt(x) is 3-5/(2sqrt(x))
What is the first derivative of 3x-5sqrt(x) ?
The first derivative of 3x-5sqrt(x) is 3-5/(2sqrt(x))