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Beliebt Algebra >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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