What is the derivative of f(x)=-1/x ?

The derivative of f(x)=-1/x is 1/(x^2)

What is the first derivative of f(x)=-1/x ?

The first derivative of f(x)=-1/x is 1/(x^2)

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derivative of

f (x) = - \frac{1}{x}

\frac{1}{x ^{2}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{1}{x ^{2}}

n = 1 \sum \infty 6 sin (\frac{1}{n})

\frac{12 ( s + 1 )}{s ( s ^{2} + 9 )}

\frac{\partial}{\partial x} (cos (3 y))

\frac{d}{d x} (\frac{x}{x - 6})

\int \frac{1}{4} x^{2} d x

What is the derivative of f(x)=-1/x ?
The derivative of f(x)=-1/x is 1/(x^2)
What is the first derivative of f(x)=-1/x ?
The first derivative of f(x)=-1/x is 1/(x^2)