What is (\partial)/(\partial y)((x-y)^{10}) ?

The answer to (\partial)/(\partial y)((x-y)^{10}) is -10(x-y)^9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)((x-y)^{10})

\frac{\partial}{\partial y} ((x - y)^{10})

- 10 (x - y)^{9}

Solution steps

\frac{\partial}{\partial y} ((x - y)^{10})

Treat

x

as a constant

Apply the chain rule:

10 (x - y)^{9} \frac{\partial}{\partial y} (x - y)

= 10 (x - y)^{9} \frac{\partial}{\partial y} (x - y)

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

= 10 (x - y)^{9} (- 1)

Simplify

= - 10 (x - y)^{9}

\int \frac{1}{25 x ^{2} - 64} d x

f (x) = x^{7}

2 t sin (t)

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

f (x) = x, at x = \frac{1}{9}

What is (\partial)/(\partial y)((x-y)^{10}) ?
The answer to (\partial)/(\partial y)((x-y)^{10}) is -10(x-y)^9