What is derivative of ln(sqrt(x))+ln(2x) ?

The solution to derivative of ln(sqrt(x))+ln(2x) is derivative of ln(sqrt(x))+ln(2)+ln(x)

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simplify derivative of ln(sqrt(x))+ln(2x)

simplify

\frac{d}{d x} (ln (x)) + ln (2 x)

\frac{d}{d x} (ln (x)) + ln (2) + ln (x)

Solution steps

\frac{d}{d x} (ln (x)) + ln (2 x)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2 x) = ln (2) + ln (x)

= \frac{d}{d x} (ln (x)) + ln (2) + ln (x)

ln (\frac{3.635}{1.29})

ln ((1 + tan (y)) (sin (x) - 1))

ln (\frac{15}{28.6})

(\frac{2}{18}) ln (\frac{2}{18})

ln (\frac{88}{15})

What is derivative of ln(sqrt(x))+ln(2x) ?
The solution to derivative of ln(sqrt(x))+ln(2x) is derivative of ln(sqrt(x))+ln(2)+ln(x)