erweitern-a(2ax+b)sin(ax^2+bx+c)

Lösung

erweitern

- a (2 a x + b) sin (a x^{2} + b x + c)

- 2 x a^{2} sin (a x^{2} + b x + c) - ab sin (a x^{2} + b x + c)

Schritte zur Lösung

- a (2 a x + b) sin (a x^{2} + b x + c)

= - a sin (a x^{2} + b x + c) (2 a x + b)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

- a sin (a x^{2} + b x + c) (2 a x + b) = - a sin (a x^{2} + b x + c) \cdot 2 a x - a sin (a x^{2} + b x + c) b

= - a sin (a x^{2} + b x + c) \cdot 2 a x - a sin (a x^{2} + b x + c) b

Vereinfache

- a sin (a x^{2} + b x + c) \cdot 2 a x - a sin (a x^{2} + b x + c) b : - 2 x a^{2} sin (a x^{2} + b x + c) - ab sin (a x^{2} + b x + c)

= - 2 x a^{2} sin (a x^{2} + b x + c) - ab sin (a x^{2} + b x + c)

s im pl i f y (3 - 4 x - 3) (3 + 4 x - 3)

e x p an d x d y - (y + x y^{3} (1 + ln (x)) d x = 0)

\frac{d}{d x} ((c) (1 - \frac{b}{c}))

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

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