erweitern d/(dv)((p(v))(p(v)+(5.9)/(v^2)))+(v-1.7)

Lösung

erweitern

\frac{d}{d v} ((p (v)) (p (v) + \frac{5.9}{v ^{2}})) + (v - 1.7)

\frac{d}{d v} (p (v)^{2} + \frac{5.9 p ( v )}{v ^{2}}) + v - 1.7

Schritte zur Lösung

\frac{d}{d v} ((p (v)) (p (v) + \frac{5.9}{v ^{2}})) + (v - 1.7)

Entferne die Klammern:

(a) = a

= \frac{d}{d v} (p (v) (p (v) + \frac{5.9}{v ^{2}})) + v - 1.7

Multipliziere aus

p (v) (p (v) + \frac{5.9}{v ^{2}}) : p (v)^{2} + \frac{5.9 p ( v )}{v ^{2}}

= \frac{d}{d v} (\frac{5.9 p ( v )}{v ^{2}} + p (v)^{2}) + v - 1.7

e x p an d v (2, - 1) f (1, - 1)

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

e x p an d (2 t - 1) (t^{4} + t) + sin (π t) (2 t - 1)^{2}

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

s im pl i f y (2 + i)^{6}