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Beliebt Rechnen >

(\partial)/(\partial t)(y+xcos(t))

Lösung

\frac{\partial}{\partial t} (y + x cos (t))

Lösung

- x sin (t)

Schritte zur Lösung

\frac{\partial}{\partial t} (y + x cos (t))

Behandle

y, x

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial t} (y) + \frac{\partial}{\partial t} (x cos (t))

\frac{\partial}{\partial t} (y) = 0

\frac{\partial}{\partial t} (x cos (t)) = - x sin (t)

= 0 - x sin (t)

Vereinfache

= - x sin (t)

Beliebte Beispiele

integral of 9x^2

derivative y=(2tan^2(2x)-1)^{1/2}

(\partial)/(\partial x)(x(1-x-2y))

(d^2)/(dx^2)(x^3+y^3)

derivative pi^2