erweitern 3x^2(4cos(x)+xsin(x))

Lösung

erweitern

3 x^{2} (4 cos (x) + x sin (x))

12 x^{2} cos (x) + 3 x^{3} sin (x)

Schritte zur Lösung

3 x^{2} (4 cos (x) + x sin (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

3 x^{2} (4 cos (x) + x sin (x)) = 3 x^{2} \cdot 4 cos (x) + 3 x^{2} x sin (x)

= 3 x^{2} \cdot 4 cos (x) + 3 x^{2} x sin (x)

Vereinfache

3 x^{2} \cdot 4 cos (x) + 3 x^{2} x sin (x) : 12 x^{2} cos (x) + 3 x^{3} sin (x)

= 12 x^{2} cos (x) + 3 x^{3} sin (x)

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

f a c t or 5 δ (x - 5) (y)

e x p an d \frac{55}{( x + 7 ) ^{2}}

e x p an d \frac{f ( x + h ) - f ( 7 x ^{2} - 6 )}{h}

s im pl i f y 35000 (1 - (1 + 234)^{- 25333})