What is the d/(d{y)}({x}{y}+{y}{z}+{x}{z}) ?

The d/(d{y)}({x}{y}+{y}{z}+{x}{z}) is {x}+{z}

What is the first d/(d{y)}({x}{y}+{y}{z}+{x}{z}) ?

The first d/(d{y)}({x}{y}+{y}{z}+{x}{z}) is {x}+{z}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

x + z

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d y} (y z) = z

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

= x + z + 0

Simplify

= x + z

What is the d/(d{y)}({x}{y}+{y}{z}+{x}{z}) ?
The d/(d{y)}({x}{y}+{y}{z}+{x}{z}) is {x}+{z}
What is the first d/(d{y)}({x}{y}+{y}{z}+{x}{z}) ?
The first d/(d{y)}({x}{y}+{y}{z}+{x}{z}) is {x}+{z}