erweitern derivative of (t-sin(t)i)-(1-cos(t))j

Lösung

erweitern

\frac{d}{d x} ((t - sin (t)) i) - (1 - cos (t)) j

\frac{d}{d x} (i t - i sin (t)) - j + j cos (t)

Schritte zur Lösung

\frac{d}{d x} ((t - sin (t)) i) - (1 - cos (t)) j

= \frac{d}{d x} (i (t - sin (t))) - j (1 - cos (t))

Multipliziere aus

- j (1 - cos (t)) : - j + j cos (t)

= \frac{d}{d x} ((t - sin (t)) i) - j + j cos (t)

Multipliziere aus

(t - sin (t)) i : i t - i sin (t)

= \frac{d}{d x} (i t - i sin (t)) - j + j cos (t)

e x p an d \frac{( - 4 s ^{2} + 31 s - 54 )}{( s - 4 ) ^{3}}

e x p an d e^{x - y} (1 - x)

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

e x p an d 2 sin (\frac{π}{3} (x - 6)) + 2

e x p an d 129600 (- 14400 π^{2} + 240 π x - x^{2})