What is the derivative of a*ln(x) ?

The derivative of a*ln(x) is a/x

What is the first derivative of a*ln(x) ?

The first derivative of a*ln(x) is a/x

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\frac{d}{d x} (a \cdot ln (x))

\frac{a}{x}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= a \frac{1}{x}

Simplify

a \frac{1}{x} : \frac{a}{x}

= \frac{a}{x}

x \to 5 lim (5 x - 5)

\int x^{3} 5 x^{4} + 20 d x

n = 0 \sum \infty (\frac{1}{17})^{n}

f (x) = \frac{4 x + 5}{x - 1}, at x = 2

x \to 0 lim (\frac{sin ( 5 x )}{6 x})

What is the derivative of a*ln(x) ?
The derivative of a*ln(x) is a/x
What is the first derivative of a*ln(x) ?
The first derivative of a*ln(x) is a/x