What is the derivative of 1/3 ln(x) ?

The derivative of 1/3 ln(x) is 1/(3x)

What is the first derivative of 1/3 ln(x) ?

The first derivative of 1/3 ln(x) is 1/(3x)

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\frac{d}{d x} (\frac{1}{3} ln (x))

\frac{1}{3 x}

Solution steps

\frac{d}{d x} (\frac{1}{3} ln (x))

Take the constant out:

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

= \frac{1}{3} \frac{d}{d x} (ln (x))

Apply the common derivative:

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

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

Simplify

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

= \frac{1}{3 x}

7 ln (y) y^{^{'}} - x^{9} y = 0

\int sin (2 x) \cdot sec (x) d x

\int \frac{6 x ^{3} - 12 x ^{2} + 4}{x ^{2} - 2 x} d x

x \to 2 π lim (\frac{x - 2 π}{sin ( x )})

\frac{d}{d x} (tan (b x))

What is the derivative of 1/3 ln(x) ?
The derivative of 1/3 ln(x) is 1/(3x)
What is the first derivative of 1/3 ln(x) ?
The first derivative of 1/3 ln(x) is 1/(3x)