What is the derivative of x^2-sqrt(x)+5 ?

The derivative of x^2-sqrt(x)+5 is 2x-1/(2sqrt(x))

What is the first derivative of x^2-sqrt(x)+5 ?

The first derivative of x^2-sqrt(x)+5 is 2x-1/(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} (x^{2} - x + 5)

2 x - \frac{1}{2 x}

Solution steps

\frac{d}{d x} (x^{2} - x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (x) + \frac{d}{d x} (5)

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

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

\frac{d}{d x} (5) = 0

= 2 x - \frac{1}{2 x} + 0

Simplify

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

What is the derivative of x^2-sqrt(x)+5 ?
The derivative of x^2-sqrt(x)+5 is 2x-1/(2sqrt(x))
What is the first derivative of x^2-sqrt(x)+5 ?
The first derivative of x^2-sqrt(x)+5 is 2x-1/(2sqrt(x))