What is the derivative of 1-ln(x) ?

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

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

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

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

- \frac{1}{x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (1) = 0

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

= 0 - \frac{1}{x}

Simplify

= - \frac{1}{x}

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