What is the derivative of-3/x ?

The derivative of-3/x is 3/(x^2)

What is the first derivative of-3/x ?

The first derivative of-3/x is 3/(x^2)

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derivative of

- \frac{3}{x}

\frac{3}{x ^{2}}

Solution steps

\frac{d}{d x} (- \frac{3}{x})

Take the constant out:

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

= - 3 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - 3 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= - 3 (- 1 \cdot x^{- 1 - 1})

Simplify

- 3 (- 1 \cdot x^{- 1 - 1}) : \frac{3}{x ^{2}}

= \frac{3}{x ^{2}}

\int \frac{x + 4}{( x ^{2} + 8 x - 7 ) ^{2}} d x

\frac{d}{d t} (t + 2)

y = tan (x^{2})

\int (3 x - 2)^{5} d x