What is the derivative of f(x)=ln(11x) ?

The derivative of f(x)=ln(11x) is 1/x

What is the first derivative of f(x)=ln(11x) ?

The first derivative of f(x)=ln(11x) is 1/x

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derivative of

f (x) = ln (11 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (11 x))

Apply the chain rule:

\frac{1}{11 x} \frac{d}{d x} (11 x)

= \frac{1}{11 x} \frac{d}{d x} (11 x)

\frac{d}{d x} (11 x) = 11

= \frac{1}{11 x} \cdot 11

Simplify

\frac{1}{11 x} \cdot 11 : \frac{1}{x}

= \frac{1}{x}

What is the derivative of f(x)=ln(11x) ?
The derivative of f(x)=ln(11x) is 1/x
What is the first derivative of f(x)=ln(11x) ?
The first derivative of f(x)=ln(11x) is 1/x