展开 derivative of ln(xy)+ln(1-x)*(n-y)

解答

展开

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

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

求解步骤

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

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

乘开

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)

e x p an d \frac{6 x ^{2} - 6 x + 6 x h - 3 h - 8}{( 2 x - 1 ) ( 2 x + 2 h - 1 )}

e x p an d \frac{1}{( 9 + 4 x ^{2} )}

e x p an d (8.22 cos (t) - 3.69)^{2}

e x p an d x (x + 25 + 5)

e x p an d \frac{\frac{d ^{2}}{d x ^{2}} ( - 3 x ^{2} )}{( x ^{2} - 1 ) ^{4}}