What is the derivative of ln(x-(x^2)/8) ?

The derivative of ln(x-(x^2)/8) is 1/x-x/4

What is the first derivative of ln(x-(x^2)/8) ?

The first derivative of ln(x-(x^2)/8) is 1/x-x/4

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\frac{d}{d x} (ln (x) - \frac{x ^{2}}{8})

\frac{1}{x} - \frac{x}{4}

Solution steps

\frac{d}{d x} (ln (x) - \frac{x ^{2}}{8})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (ln (x)) - \frac{d}{d x} (\frac{x ^{2}}{8})

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

\frac{d}{d x} (\frac{x ^{2}}{8}) = \frac{x}{4}

= \frac{1}{x} - \frac{x}{4}

x \to - 3 lim ((x - 5) (x + 4))

\int_{0}^{\infty} \frac{1}{4 + x} d x

x \to 0 lim (\frac{x}{1 - ( x - 1 ) ^{2}})

t \to 0 + lim (arctan (ln (t)))

\frac{9}{x}, 1

What is the derivative of ln(x-(x^2)/8) ?
The derivative of ln(x-(x^2)/8) is 1/x-x/4
What is the first derivative of ln(x-(x^2)/8) ?
The first derivative of ln(x-(x^2)/8) is 1/x-x/4