erweitern derivative of (x^2/2)+5x+(6-5x)ln(x)+5

Lösung

erweitern

\frac{d}{d x} (\frac{x ^{2}}{2}) + 5 x + (6 - 5 x) ln (x) + 5

\frac{d}{d x} (\frac{x ^{2}}{2}) + 5 x + 6 ln (x) - 5 x ln (x) + 5

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2}}{2}) + 5 x + (6 - 5 x) ln (x) + 5

= \frac{d}{d x} (\frac{x ^{2}}{2}) + 5 x + ln (x) (6 - 5 x) + 5

Multipliziere aus

ln (x) (6 - 5 x) : 6 ln (x) - 5 x ln (x)

= \frac{d}{d x} (\frac{x ^{2}}{2}) + 5 x + 6 ln (x) - 5 x ln (x) + 5

e x p an d 7 (11 + 10)

e x p an d (2 \cdot a - a \cdot b)^{4}

e x p an d 8 (ln (1 + 2) + 2)

e x p an d 6 x (x + 1 = 21 - x)

e x p an d 2 (- 7 - 3)