What is the derivative of f(x)=-8/x ?

The derivative of f(x)=-8/x is 8/(x^2)

What is the first derivative of f(x)=-8/x ?

The first derivative of f(x)=-8/x is 8/(x^2)

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derivative of

f (x) = - \frac{8}{x}

\frac{8}{x ^{2}}

Solution steps

\frac{d}{d x} (- \frac{8}{x})

Take the constant out:

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

= - 8 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - 8 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= - 8 (- 1 \cdot x^{- 1 - 1})

Simplify

- 8 (- 1 \cdot x^{- 1 - 1}) : \frac{8}{x ^{2}}

= \frac{8}{x ^{2}}

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

- \frac{1}{2} cos (2 x)

(x^{2})^{^{'}}

\int 5 e^{- 5 x} sin (5 x) d x

4 π (3 + x)^{2}

What is the derivative of f(x)=-8/x ?
The derivative of f(x)=-8/x is 8/(x^2)
What is the first derivative of f(x)=-8/x ?
The first derivative of f(x)=-8/x is 8/(x^2)