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Beliebt Rechnen >

derivative of cos(x+sin(y))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Beliebte Beispiele

inverselaplace 1/(s(s+4)(s+2))

integral of (ln(3x+1))/(12x+4)

(d^2)/(dx^2)(x(x-4)^3)

derivative e^{ax}

integral of 5x^5-x