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)

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}}

x \to - 2 lim (3 x^{2} + 4 x - 3)

\int 20 x e^{0.01 x^{2}} d x

t an g e n t 2 cos (x) + 3 sin (x), at x = \frac{π}{2}

d er i v a t i v e \frac{ln ( 2 x )}{2 x}

\frac{\partial}{\partial x} (\frac{sin ( x )}{cos ( x )})