What is the derivative of sqrt(x)+sqrt(y) ?

The derivative of sqrt(x)+sqrt(y) is 1/(2sqrt(x))

What is the first derivative of sqrt(x)+sqrt(y) ?

The first derivative of sqrt(x)+sqrt(y) is 1/(2sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

x + y

\frac{1}{2 x}

Solution steps

\frac{d}{d x} (x + y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= \frac{1}{2 x}

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