What is (\partial)/(\partial x)((5x-y)^7) ?

The answer to (\partial)/(\partial x)((5x-y)^7) is 35(5x-y)^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)((5x-y)^7)

\frac{\partial}{\partial x} ((5 x - y)^{7})

35 (5 x - y)^{6}

Solution steps

\frac{\partial}{\partial x} ((5 x - y)^{7})

Treat

y

as a constant

Apply the chain rule:

7 (5 x - y)^{6} \frac{\partial}{\partial x} (5 x - y)

= 7 (5 x - y)^{6} \frac{\partial}{\partial x} (5 x - y)

\frac{\partial}{\partial x} (5 x - y) = 5

= 7 (5 x - y)^{6} \cdot 5

Simplify

= 35 (5 x - y)^{6}

\frac{d}{d x} (4 x^{\frac{5}{4}} + 6 x^{\frac{3}{2}} + 9 x)

\int x^{2} - y d y

x \to 0 lim (\frac{x ^{2}}{2 x})

\int_{0}^{1} 2 π \cdot \frac{2}{3} \cdot x \cdot \frac{2}{3} d x

\frac{d}{d x} (ln (8 x - 5) \cdot 7^{5 x - 2})

What is (\partial)/(\partial x)((5x-y)^7) ?
The answer to (\partial)/(\partial x)((5x-y)^7) is 35(5x-y)^6