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)

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derivative of

\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}}

x \to + 1 + lim (ln (3 x^{2} - x - 2))

y = \frac{5 x}{e ^{x}}

\int 3 ln (2 x + 1) d x

\int \frac{sin ( \frac{7}{x} )}{x ^{2}} d x

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

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)