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}}

(\frac{d x}{d y}) + 3 x y^{3} = 0

x + 19

t^{\frac{1}{3}}

x \to π lim (csc^{2} (x))

\frac{\partial}{\partial x} (\frac{1}{b} \cdot (a - p (b, x)))