What is (\partial)/(\partial x)(z-xy) ?

The answer to (\partial)/(\partial x)(z-xy) is -y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(z-xy)

\frac{\partial}{\partial x} (z - x y)

- y

Solution steps

\frac{\partial}{\partial x} (z - x y)

Treat

z, y

as constants

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - y

Simplify

= - y

\frac{\partial}{\partial x} (sin (5 x + 6 y + z))

\int sin (5 x) cos (2 x) d x

x \to 9 + lim (\frac{3}{x - 9})

\int 2 1 + 4 x^{2} d x

\frac{d}{d x} (x^{0.4} y^{0.6})

What is (\partial)/(\partial x)(z-xy) ?
The answer to (\partial)/(\partial x)(z-xy) is -y