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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)((x-y)^4)

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

4 (x - y)^{3}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 4 (x - y)^{3} \cdot 1

Simplify

= 4 (x - y)^{3}

\int \frac{8 + 7 x}{1 + x ^{2}} d x

t an g e n t f (x) = x^{2} - 2, at x = 0

\int \frac{2 x ^{3} - 4 x ^{2} + 18 x}{x ^{2} + 9} d x

\int x x x + 7 d x

2 y^{^{'}} = 4 t cos (t) y^{2}, y (0) = 1

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