What is (\partial)/(\partial x)(2x(y-3x)-4y) ?

The answer to (\partial)/(\partial x)(2x(y-3x)-4y) is 2(y-6x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(2x(y-3x)-4y)

\frac{\partial}{\partial x} (2 x (y - 3 x) - 4 y)

2 (y - 6 x)

Solution steps

\frac{\partial}{\partial x} (2 x (y - 3 x) - 4 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x (y - 3 x)) - \frac{\partial}{\partial x} (4 y)

\frac{\partial}{\partial x} (2 x (y - 3 x)) = 2 (y - 6 x)

\frac{\partial}{\partial x} (4 y) = 0

= 2 (y - 6 x) - 0

Simplify

= 2 (y - 6 x)

\frac{d}{d x} (\frac{x - 5}{x + 3})

\int \frac{1}{y ^{4} y ^{2} - 5} d y

ln (k x)

y^{^{'}} - 3 y = 2 x + 1

\int \frac{x}{1 + 6 x - 3 x ^{2}} d x

What is (\partial)/(\partial x)(2x(y-3x)-4y) ?
The answer to (\partial)/(\partial x)(2x(y-3x)-4y) is 2(y-6x)