What is the derivative of-6/x ?

The derivative of-6/x is 6/(x^2)

What is the first derivative of-6/x ?

The first derivative of-6/x is 6/(x^2)

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derivative of

- \frac{6}{x}

\frac{6}{x ^{2}}

Solution steps

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

Take the constant out:

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

= - 6 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - 6 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= - 6 (- 1 \cdot x^{- 1 - 1})

Simplify

- 6 (- 1 \cdot x^{- 1 - 1}) : \frac{6}{x ^{2}}

= \frac{6}{x ^{2}}

n = 0 \sum \infty \frac{( - 1 ) x ^{n}}{n}

\frac{\partial}{\partial v} (\frac{v}{2})

\int_{- 2}^{- 1} x^{2} - x - 2 d x

\frac{d y}{d x} = \frac{3 x + 2 y}{3 x + 2 y + 2}

y^{^{''}} + 7 y^{^{'}} + 10 y = - 4 sin (3 t)