erweitern (5x^6(-6xtan(6x)+7))/(7sec(6x))

Lösung

erweitern

\frac{5 x ^{6} ( - 6 x tan ( 6 x ) + 7 )}{7 sec ( 6 x )}

- \frac{30 x ^{7} tan ( 6 x )}{7 sec ( 6 x )} + \frac{5 x ^{6}}{sec ( 6 x )}

Schritte zur Lösung

\frac{5 x ^{6} ( - 6 x tan ( 6 x ) + 7 )}{7 sec ( 6 x )}

Multipliziere aus

5 x^{6} (- 6 x tan (6 x) + 7) : - 30 x^{7} tan (6 x) + 35 x^{6}

= \frac{- 30 x ^{7} tan ( 6 x ) + 35 x ^{6}}{7 sec ( 6 x )}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 30 x ^{7} tan ( 6 x ) + 35 x ^{6}}{7 sec ( 6 x )} = - \frac{30 x ^{7} tan ( 6 x )}{7 sec ( 6 x )} + \frac{35 x ^{6}}{7 sec ( 6 x )}

= - \frac{30 x ^{7} tan ( 6 x )}{7 sec ( 6 x )} + \frac{35 x ^{6}}{7 sec ( 6 x )}

Teile die Zahlen:

\frac{35}{7} = 5

= - \frac{30 x ^{7} tan ( 6 x )}{7 sec ( 6 x )} + \frac{5 x ^{6}}{sec ( 6 x )}

e x p an d 3 (x (b f - ce) - y (a f - c d) + z (a e - b d))

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

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

e x p an d \frac{1}{( x - 3 ) ( - 1 - z )}

e x p an d \frac{( x + 5 )}{1} + \frac{x + 2 x + 4}{x ^{2} + 5 x + 1}