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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- 4 y (- 2 x - y - 3)

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = - 3 - x - y

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

\frac{\partial}{\partial x} (x) = 1

\frac{\partial}{\partial x} (- 3 - x - y) = - 1

= - 4 y (1 \cdot (- 3 - x - y) + (- 1) x)

Simplify

- 4 y (1 \cdot (- 3 - x - y) + (- 1) x) : - 4 y (- 2 x - y - 3)

= - 4 y (- 2 x - y - 3)

\frac{\partial}{\partial s} (s + 2 t)

\frac{d}{d x} (\frac{c ^{7} - x ^{7}}{c ^{7} + x ^{7}})

\frac{d}{d x} (\frac{e ^{3 x}}{x ^{2}})

9 x^{2} - x^{3}

\int x 4 x - x^{2} d x

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