What is the derivative of-(x^8)/(y^8) ?

The derivative of-(x^8)/(y^8) is -(8x^7)/(y^8)

What is the first derivative of-(x^8)/(y^8) ?

The first derivative of-(x^8)/(y^8) is -(8x^7)/(y^8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

- \frac{x ^{8}}{y ^{8}}

- \frac{8 x ^{7}}{y ^{8}}

Solution steps

\frac{d}{d x} (- \frac{x ^{8}}{y ^{8}})

Treat

y

as a constant

Take the constant out:

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

= - \frac{1}{y ^{8}} \frac{d}{d x} (x^{8})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - \frac{1}{y ^{8}} \cdot 8 x^{8 - 1}

Simplify

- \frac{1}{y ^{8}} \cdot 8 x^{8 - 1} : - \frac{8 x ^{7}}{y ^{8}}

= - \frac{8 x ^{7}}{y ^{8}}

x^{2} - 4 x, x + 6

\int \frac{31}{31 + e ^{x}} d x

\int (3 x + 1) (3 x^{2} + 2 x)^{\frac{3}{4}} d x

y = 4 x^{4} + 3 x - 5, (1, 2)

f (x) = \frac{1}{2 + 3 x}, at x = 1

What is the derivative of-(x^8)/(y^8) ?
The derivative of-(x^8)/(y^8) is -(8x^7)/(y^8)
What is the first derivative of-(x^8)/(y^8) ?
The first derivative of-(x^8)/(y^8) is -(8x^7)/(y^8)