What is the derivative of-(30/(x^4)) ?

The derivative of-(30/(x^4)) is (120)/(x^5)

What is the first derivative of-(30/(x^4)) ?

The first derivative of-(30/(x^4)) is (120)/(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (- \frac{30}{x ^{4}})

\frac{120}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{30}{x ^{4}})

Take the constant out:

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

= - 30 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= - 30 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 30 (- 4 x^{- 4 - 1})

Simplify

- 30 (- 4 x^{- 4 - 1}) : \frac{120}{x ^{5}}

= \frac{120}{x ^{5}}

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

\int \frac{ln ( 4 x ^{2} )}{x} d x

\int x e^{- \frac{x}{100}} d x

\frac{\partial}{\partial y} (9 x y)

e^{- t} \cdot sin (2 t)

What is the derivative of-(30/(x^4)) ?
The derivative of-(30/(x^4)) is (120)/(x^5)
What is the first derivative of-(30/(x^4)) ?
The first derivative of-(30/(x^4)) is (120)/(x^5)