erweitern (dx)/d (x=200-2y)

Lösung

erweitern

\frac{d x}{d} (x = 200 - 2 y)

\frac{x d x}{d} = 200 - \frac{2 y d x}{d}

Schritte zur Lösung

\frac{d x}{d} (x = 200 - 2 y)

= \frac{d x}{d} (200 = x - 2 y)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = \frac{d x}{d}, b = x = 200, c = 2 y

\frac{d x}{d} x = 200 - \frac{d x}{d} \cdot 2 y

\frac{d x}{d} x = 200 - 2 \cdot \frac{d x}{d} y

Vereinfache

\frac{d x}{d} x = 200 - 2 \cdot \frac{d x}{d} y : \frac{x d x}{d} = 200 - \frac{2 y d x}{d}

\frac{x d x}{d} = 200 - \frac{2 y d x}{d}

e x p an d 1125 - 200 \cdot (75 - x)^{2} d x

s im pl i f y \frac{18.6}{( 1 - 3 x ) ^{2}}

e x p an d A! B +! A B (C + C)

e x p an d - \frac{1}{3} x + 1

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