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Beliebt Algebra >

derivative of (sin(x+y)^2)

Lösung

\frac{d}{d x} ((sin (x + y))^{2})

Lösung

2 sin (x + y) cos (x + y) (1 + \frac{d y}{d x})

Schritte zur Lösung

\frac{d}{d x} ((sin (x + y))^{2})

Wende die Kettenregel an:

2 sin (x + y) \frac{d}{d x} (sin (x + y))

= 2 sin (x + y) \frac{d}{d x} (sin (x + y))

\frac{d}{d x} (sin (x + y)) = cos (x + y) (1 + \frac{d y}{d x})

= 2 sin (x + y) cos (x + y) (1 + \frac{d y}{d x})

Beliebte Beispiele

faktorisieren 81x^2+0x+16

f a c t or 81 x^{2} + 0 x + 16

vereinfachen 2100+20(x)-0.1(x)^2

s im pl i f y 2100 + 20 (x) - 0.1 (x)^{2}

faktorisieren 125n^9p^6-27s^6f^3

f a c t or 125 n^{9} p^{6} - 27 s^{6} f^{3}

faktorisieren ((3pi)/2)+2pi

f a c t or (\frac{3 π}{2}) + 2 π

f(x)=sin^{(2)}(x)+6x-2

f (x) = sin^{(2)} (x) + 6 x - 2