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

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

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

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

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derivative of

x - ln (x)

1 - \frac{1}{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - \frac{1}{x}

\frac{d y}{d x}, y = 2 x

7 x, \frac{1}{2} x, 18 - x^{2}

\int \frac{4 x + 7}{x ^{2} + 1} d x

\int e^{- 2 x} sin (3 x) d x

f (x) = x^{2} sin (2 x)

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