What is (\partial)/(\partial z)(xy+yz) ?

The answer to (\partial)/(\partial z)(xy+yz) is y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial z)(xy+yz)

\frac{\partial}{\partial z} (x y + yz)

y

Solution steps

\frac{\partial}{\partial z} (x y + yz)

Treat

x, y

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial z} (x y) + \frac{\partial}{\partial z} (yz)

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

\frac{\partial}{\partial z} (yz) = y

= 0 + y

Simplify

= y

\int e^{3 x} (e^{3 x - 8})^{5} d x

y^{^{'}} = 3 x + y

\frac{d ^{3}}{d x ^{3}} (ln (x + 1))

\frac{d y}{d x}, y^{3} = x + y

\int x + \frac{1}{x} d x

What is (\partial)/(\partial z)(xy+yz) ?
The answer to (\partial)/(\partial z)(xy+yz) is y