erweitern sec(x)(1+xtan(x))

Lösung

erweitern

sec (x) (1 + x tan (x))

sec (x) + x sec (x) tan (x)

Schritte zur Lösung

sec (x) (1 + x tan (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

sec (x) (1 + x tan (x)) = sec (x) \cdot 1 + sec (x) x tan (x)

= sec (x) \cdot 1 + sec (x) x tan (x)

Vereinfache

sec (x) \cdot 1 + sec (x) x tan (x) : sec (x) + x sec (x) tan (x)

= sec (x) + x sec (x) tan (x)

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

e x p an d, x^{2} (x + 2)

e x p an d 1 + tan^{2} (x)

e x p an d (x - 1) \cdot (x - 2)^{2} \cdot (x - 3)^{3} l e f t (x - 4)^{4}

e x p an d (- 2 sin (x) - 2 sin (2 x))^{2}