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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)((x-y)^3)

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

3 (x - y)^{2}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 3 (x - y)^{2} \cdot 1

Simplify

= 3 (x - y)^{2}

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

\int 4 x^{2} cos (6 x) d x

\frac{d}{d x} (\frac{2 x ^{3}}{2 x ^{4} - 5 x ^{3} + x ^{2}})

f (x) = 4 e^{x}

x (x - 10)

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