What is the derivative of-2ln(x) ?

The derivative of-2ln(x) is -2/x

What is the first derivative of-2ln(x) ?

The first derivative of-2ln(x) is -2/x

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

- \frac{2}{x}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= - 2 \cdot \frac{1}{x}

Simplify

- 2 \cdot \frac{1}{x} : - \frac{2}{x}

= - \frac{2}{x}

\frac{d}{d x} ((x - 2)^{3} (x - 6))

5 x, \frac{5}{x}, x = 5

\frac{d}{d x} ((x - 1)^{\frac{1}{3}} (x + 2)^{\frac{2}{3}})

e^{13 t} cos (t)

\frac{d y}{d x} + \frac{x ^{2}}{y} = 0