erweitern (sec^2(x-y))(1-(dy)/(dx))

Lösung

erweitern

(sec^{2} (x - y)) (1 - \frac{d y}{d x})

sec^{2} (x - y) - sec^{2} (x - y) \frac{d y}{d x}

Schritte zur Lösung

(sec^{2} (x - y)) (1 - \frac{d y}{d x})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = (sec^{2} (x - y)), b = 1, c = \frac{d y}{d x}

= (sec^{2} (x - y)) \cdot 1 - (sec^{2} (x - y)) \frac{d y}{d x}

= 1 \cdot (sec^{2} (x - y)) - (sec^{2} (x - y)) \frac{d y}{d x}

Vereinfache

1 \cdot (sec^{2} (x - y)) - (sec^{2} (x - y)) \frac{d y}{d x} : sec^{2} (x - y) - sec^{2} (x - y) \frac{d y}{d x}

= sec^{2} (x - y) - sec^{2} (x - y) \frac{d y}{d x}

e x p an d (tan (x) - 1) (sec (x) - 1)

e x p an d \frac{m \cdot Y}{s q ( G s t \cdot a + b ) b}

s im pl i f y (x) (1 + 1 - x)

e x p an d \frac{( s + 4 )}{( s + 1 ) ( s + 3 )}

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