erweitern (dx)/d (x=3cos(y)-sin(y)y_{2})

Lösung

erweitern

\frac{d x}{d} (x = 3 cos (y) - sin (y) y_{2})

\frac{x d x}{d} = 3 cos (y) - \frac{y _{2} sin ( y ) d x}{d}

Schritte zur Lösung

\frac{d x}{d} (x = 3 cos (y) - sin (y) y_{2})

= \frac{d x}{d} (3 = x cos (y) - y_{2} sin (y))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = \frac{d x}{d}, b = x = 3 cos (y), c = sin (y) y_{2}

\frac{d x}{d} x = 3 cos (y) - \frac{d x}{d} sin (y) y_{2}

\frac{d x}{d} x = 3 cos (y) - \frac{d x}{d} y_{2} sin (y)

Vereinfache

\frac{d x}{d} x = 3 cos (y) - \frac{d x}{d} y_{2} sin (y) : \frac{x d x}{d} = 3 cos (y) - \frac{y _{2} sin ( y ) d x}{d}

\frac{x d x}{d} = 3 cos (y) - \frac{y _{2} sin ( y ) d x}{d}

s im pl i f y (\frac{8 u}{5} + \frac{3 v ^{2}}{8}) (\frac{8 u}{5} - \frac{3 v ^{2}}{8})

s im pl i f y (i - x)^{2} + c (x - c)^{2}

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

e x p an d (1 + 5)^{14}

e x p an d - \frac{5 ( e ^{- 6 s} - 1 )}{s}