What is the derivative of 5ln(x) ?

The derivative of 5ln(x) is 5/x

What is the first derivative of 5ln(x) ?

The first derivative of 5ln(x) is 5/x

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derivative of

5 ln (x)

\frac{5}{x}

Solution steps

\frac{d}{d x} (5 ln (x))

Take the constant out:

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

= 5 \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= 5 \cdot \frac{1}{x}

Simplify

5 \cdot \frac{1}{x} : \frac{5}{x}

= \frac{5}{x}

x^{2} lo g_{3} (x^{3})

\int (8 x - \frac{7}{x}) d x

y = cos (x), at x = \frac{3 π}{2}

f (x) = \frac{5}{( 2 x - 3 ) ^{4}}

\frac{d}{d x} (sin (x) ln (5 x))