What is the derivative of y=(10)/(x^3) ?

The derivative of y=(10)/(x^3) is -(30)/(x^4)

What is the first derivative of y=(10)/(x^3) ?

The first derivative of y=(10)/(x^3) is -(30)/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = \frac{10}{x ^{3}}

- \frac{30}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{10}{x ^{3}})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 10 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= 10 (- 3 x^{- 3 - 1})

Simplify

10 (- 3 x^{- 3 - 1}) : - \frac{30}{x ^{4}}

= - \frac{30}{x ^{4}}

(4 x y^{2} + 4 y) d x + (4 x^{2} y + 4 x) d y = 0

a cos (t)

\int cos^{2} (x) \cdot sin (x) d x

\frac{\partial}{\partial x} (2 z^{10})

f (x) = \frac{1}{5 x - 7}

What is the derivative of y=(10)/(x^3) ?
The derivative of y=(10)/(x^3) is -(30)/(x^4)
What is the first derivative of y=(10)/(x^3) ?
The first derivative of y=(10)/(x^3) is -(30)/(x^4)