What is the derivative of 3ln(x) ?

The derivative of 3ln(x) is 3/x

What is the first derivative of 3ln(x) ?

The first derivative of 3ln(x) is 3/x

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derivative of

3 ln (x)

\frac{3}{x}

Solution steps

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

Take the constant out:

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

= 3 \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= 3 \cdot \frac{1}{x}

Simplify

3 \cdot \frac{1}{x} : \frac{3}{x}

= \frac{3}{x}

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

\frac{d}{d x} (e^{- 2 x} \cdot cos (3 x))

x \to 0 + lim (3 + x^{5} ln (x))

\frac{\partial}{\partial y} (x^{3} + y z^{2})

\int \frac{1}{x - 2} d x