erweitern derivative of ln(xy)+ln(1-x)(n-y)

Lösung

erweitern

\frac{d}{d x} (ln (x) y) + ln (1 - x) (n - y)

\frac{d}{d x} (ln (x) y) + n ln (1 - x) - y ln (1 - x)

Schritte zur Lösung

\frac{d}{d x} (ln (x) y) + ln (1 - x) (n - y)

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

Multipliziere aus

ln (1 - x) (n - y) : n ln (1 - x) - y ln (1 - x)

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

s im pl i f y (x + 4) (x + 1 - 3 i)^{2}

e x p an d \frac{( 0.00115 + x ) \cdot x}{0.011 - x}

e x p an d (1 + (\frac{4 x}{1 - 4 x})) (x (1 - 4 x))

e x p an d \frac{\frac{d}{d x} ( ( 3 x - 2 ) 3 )}{2}

s im pl i f y 2 (7 - 2)