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

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

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

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

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

\frac{n}{x}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= n \frac{1}{x}

Simplify

n \frac{1}{x} : \frac{n}{x}

= \frac{n}{x}

\frac{d}{d x} (\frac{3 x ^{2} - 1}{6 x ^{3} + 5})

x \to 7 + lim (\frac{3}{x - 7})

\int_{5}^{\infty} \frac{1}{x ^{2} - 4} d x

\frac{d}{d x} (\frac{1}{4 x ^{2} + 2 x})

x \to 2 lim (2 + 3)

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