What is the derivative of 2/5*ln(x) ?

The derivative of 2/5*ln(x) is 2/(5x)

What is the first derivative of 2/5*ln(x) ?

The first derivative of 2/5*ln(x) is 2/(5x)

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\frac{d}{d x} (\frac{2}{5} \cdot ln (x))

\frac{2}{5 x}

Solution steps

\frac{d}{d x} (\frac{2}{5} ln (x))

Take the constant out:

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

= \frac{2}{5} \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= \frac{2}{5} \cdot \frac{1}{x}

Simplify

\frac{2}{5} \cdot \frac{1}{x} : \frac{2}{5 x}

= \frac{2}{5 x}

(3 + 3 y + 3 y^{2}) d x + (x + 2 x y) d y = 0

4 4 - y

\frac{\partial}{\partial w} (4 x^{3} - x y^{2} + 3 y - 7)

\int cos^{2} (3 θ) d θ

\frac{\partial}{\partial x} (e^{z^{2}} + y ln (x^{2} + 5))

What is the derivative of 2/5*ln(x) ?
The derivative of 2/5*ln(x) is 2/(5x)
What is the first derivative of 2/5*ln(x) ?
The first derivative of 2/5*ln(x) is 2/(5x)