What is the derivative of-(13/(x^4)) ?

The derivative of-(13/(x^4)) is (52)/(x^5)

What is the first derivative of-(13/(x^4)) ?

The first derivative of-(13/(x^4)) is (52)/(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{13}{x ^{4}})

\frac{52}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{13}{x ^{4}})

Take the constant out:

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

= - 13 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= - 13 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 13 (- 4 x^{- 4 - 1})

Simplify

- 13 (- 4 x^{- 4 - 1}) : \frac{52}{x ^{5}}

= \frac{52}{x ^{5}}

\frac{d}{d x} f (x) = \frac{12}{( 3 x - 4 ) ^{5}}

\int \frac{- 2}{z ^{3}} d z

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

\int (x + 1) (x - 2)^{9} d x

y^{^{''}} + 4 y^{^{'}} + 5 y = 15 x + e^{- x}

What is the derivative of-(13/(x^4)) ?
The derivative of-(13/(x^4)) is (52)/(x^5)
What is the first derivative of-(13/(x^4)) ?
The first derivative of-(13/(x^4)) is (52)/(x^5)