erweitern cos(x)(sec(x)+3sin(x))

Lösung

erweitern

cos (x) (sec (x) + 3 sin (x))

3 cos (x) sin (x) + 1

Schritte zur Lösung

cos (x) (sec (x) + 3 sin (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

cos (x) (sec (x) + 3 sin (x)) = cos (x) sec (x) + cos (x) \cdot 3 sin (x)

= cos (x) sec (x) + cos (x) \cdot 3 sin (x)

Vereinfache

cos (x) sec (x) + cos (x) \cdot 3 sin (x) : 3 cos (x) sin (x) + 1

= 3 cos (x) sin (x) + 1

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

e x p an d \frac{s ( s + 5 )}{( ( s ^{2} + 1 ) ( s ^{2} + 6 s + 11 ) )}

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

\frac{d ^{2}}{d y d x} ((f (y, x)) (x^{2} + 5 x y + sin (x) + 7 e^{x}))

e x p an d (4 x - \frac{1}{x ^{2}})^{6}