de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

erweitern (-x+6tan(x/6))*(6ln(tan(x/6)+sec(x/6)))

Lösung

erweitern

(- x + 6 tan (\frac{x}{6})) \cdot (6 ln (tan (\frac{x}{6}) + sec (\frac{x}{6})))

Lösung

- 6 x ln (tan (\frac{x}{6}) + sec (\frac{x}{6})) + 36 tan (\frac{x}{6}) ln (tan (\frac{x}{6}) + sec (\frac{x}{6}))

Schritte zur Lösung

(- x + 6 tan (\frac{x}{6})) (6 ln (tan (\frac{x}{6}) + sec (\frac{x}{6})))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = (6 ln (tan (\frac{x}{6}) + sec (\frac{x}{6}))), b = - x, c = 6 tan (\frac{x}{6})

= (6 ln (tan (\frac{x}{6}) + sec (\frac{x}{6}))) (- x) + (6 ln (tan (\frac{x}{6}) + sec (\frac{x}{6}))) \cdot 6 tan (\frac{x}{6})

Wende Minus-Plus Regeln an

+ (- a) = - a

= - x (6 ln (tan (\frac{x}{6}) + sec (\frac{x}{6}))) + 6 tan (\frac{x}{6}) (6 ln (tan (\frac{x}{6}) + sec (\frac{x}{6})))

Vereinfache

- x (6 ln (tan (\frac{x}{6}) + sec (\frac{x}{6}))) + 6 tan (\frac{x}{6}) (6 ln (tan (\frac{x}{6}) + sec (\frac{x}{6}))) : - 6 x ln (tan (\frac{x}{6}) + sec (\frac{x}{6})) + 36 tan (\frac{x}{6}) ln (tan (\frac{x}{6}) + sec (\frac{x}{6}))

= - 6 x ln (tan (\frac{x}{6}) + sec (\frac{x}{6})) + 36 tan (\frac{x}{6}) ln (tan (\frac{x}{6}) + sec (\frac{x}{6}))

Beliebte Beispiele

erweitern y(2x^2y+y^2=2x+13)

e x p an d y (2 x^{2} y + y^{2} = 2 x + 13)

erweitern (a-sqrt(2))^3

e x p an d (a - 2)^{3}

vereinfachen (sqrt(5)-i)^6

s im pl i f y (5 - i)^{6}

erweitern ((k))/((0.5p+1)(0.75p+1)(0.36*p+1))

e x p an d \frac{( k )}{( 0.5 p + 1 ) ( 0.75 p + 1 ) ( 0.36 \cdot p + 1 )}

erweitern (3x+3dx-5)(3x+3dx-5)

e x p an d (3 x + 3 d x - 5) (3 x + 3 d x - 5)