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

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

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

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

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

\frac{c}{x}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= c \frac{1}{x}

Simplify

c \frac{1}{x} : \frac{c}{x}

= \frac{c}{x}

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