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)

Popular >

derivative of

\frac{4}{x}

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

Solution steps

\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}}

\int (3 x^{2} + 6 x) (x^{3} + 3 x^{2} + 1)^{\frac{2}{3}} d x

\int \frac{x + 3}{x ^{2} + 4 x + 5} d x

ln (7 x^{2} + 3 y^{2})

\int cot^{3} (3 x) csc^{5} (3 x) d x

\frac{\partial}{\partial x} (sin (x y) ln (x + y))