What is the derivative of 6ln(x) ?

The derivative of 6ln(x) is 6/x

What is the first derivative of 6ln(x) ?

The first derivative of 6ln(x) is 6/x

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\frac{d}{d x} (6 ln (x))

\frac{6}{x}

Solution steps

\frac{d}{d x} (6 ln (x))

Take the constant out:

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

= 6 \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= 6 \cdot \frac{1}{x}

Simplify

6 \cdot \frac{1}{x} : \frac{6}{x}

= \frac{6}{x}

d er i v a t i v e y = \frac{x ^{7} - 2 x ^{4} + 14 x}{x ^{4}}

x \to 3 lim (\frac{( x ^{2} )}{x - 3})

d er i v a t i v e 0.002 x^{2} + 1.7 x + 60

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

d er i v a t i v e y = \frac{e ^{x}}{8 x ^{4}}