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

The derivative of (-4/x) is 4/(x^2)

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

The first derivative of (-4/x) is 4/(x^2)

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

\frac{4}{x ^{2}}

Solution steps

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

Simplify

\frac{- 4}{x} : - \frac{4}{x}

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 4 (- 1 \cdot x^{- 1 - 1})

Simplify

- 4 (- 1 \cdot x^{- 1 - 1}) : \frac{4}{x ^{2}}

= \frac{4}{x ^{2}}

x (7 x + 1)^{\frac{1}{3}}

5 x^{3} - 5 x

f (x) = \frac{x ^{2}}{3}

\int \frac{( arctan ( x ) )}{x ^{2}} d x

f (x) = 6 x

What is the derivative of (-4/x) ?
The derivative of (-4/x) is 4/(x^2)
What is the first derivative of (-4/x) ?
The first derivative of (-4/x) is 4/(x^2)