What is the derivative of x-ln(8x) ?

The derivative of x-ln(8x) is 1-1/x

What is the first derivative of x-ln(8x) ?

The first derivative of x-ln(8x) is 1-1/x

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\frac{d}{d x} (x - ln (8 x))

1 - \frac{1}{x}

Solution steps

\frac{d}{d x} (x - ln (8 x))

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (ln (8 x))

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

\frac{d}{d x} (ln (8 x)) = \frac{1}{x}

= 1 - \frac{1}{x}

(7 x + 4)^{2}

\frac{d y}{d x} = 3 x y

\int \frac{x + 2 x ^{2}}{x} d x

\frac{d}{d x} (x^{2} arctan (7 x))

\int \frac{6 x - 1}{x ^{3} + 4 x} d x

What is the derivative of x-ln(8x) ?
The derivative of x-ln(8x) is 1-1/x
What is the first derivative of x-ln(8x) ?
The first derivative of x-ln(8x) is 1-1/x