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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derivative of

- 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}

d er i v a t i v e f (x) = (x + sin (x))^{2}

d er i v a t i v e \frac{2000}{x}

d er i v a t i v e 4 x^{3} - x^{2} + 1^{2}

d er i v a t i v e \frac{t ^{2}}{20} + \frac{t}{5}

d er i v a t i v e \frac{1}{ln ( 1 + 3 x )}