What is the derivative of f(x)=((-2))/x ?

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

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

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

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derivative of

f (x) = \frac{( - 2 )}{x}

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

Solution steps

\frac{d}{d x} (\frac{- 2}{x})

Simplify

\frac{- 2}{x} : - \frac{2}{x}

= \frac{d}{d x} (- \frac{2}{x})

Take the constant out:

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

= - 2 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - 2 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= - 2 (- 1 \cdot x^{- 1 - 1})

Simplify

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

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

\frac{d}{d x} (4 x^{4} + 3 x^{2})

f (x) = 5 + x^{2}

\int_{0}^{\frac{1}{2}} t^{2} d t

\frac{\partial}{\partial x} (8 + e^{- x y} cos (y))

f (x) = \frac{1}{2 + 3 x}, (2, \frac{1}{8})

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