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Beliebt Algebra >

erweitern (1-sec(x))(1+sec(x))'

Lösung

erweitern

(1 - sec (x)) (1 + sec (x))^{'}

Lösung

(1 + sec (x))' - sec (x) (1 + sec (x))'

Schritte zur Lösung

(1 - sec (x)) (1 + sec (x))^{'}

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = (1 + sec (x))^{'}, b = 1, c = sec (x)

= (1 + sec (x))^{^{'}} 1 - (1 + sec (x))^{^{'}} sec (x)

= 1 (1 + sec (x))^{^{'}} - sec (x) (1 + sec (x))^{^{'}}

Multipliziere:

1 (1 + sec (x))^{'} = (1 + sec (x))^{'}

= (1 + sec (x))^{^{'}} - sec (x) (1 + sec (x))^{^{'}}

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