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})

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}}

\int (csc (x)) d x

\frac{d}{d x} (arctan (- 5 x + 1))

f (x) = 3 x^{2} + 5 x - 6

f (x) = arcsin (\frac{x}{3})

\frac{d}{d x} (\frac{6 x}{7 - cot ( x )})

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)