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Beliebt Rechnen >

d/(dθ)(sin(θ)+θcos(θ))

Lösung

\frac{d}{d θ} (sin (θ) + θ cos (θ))

Lösung

2 cos (θ) - θ sin (θ)

Schritte zur Lösung

\frac{d}{d θ} (sin (θ) + θ cos (θ))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d θ} (sin (θ)) + \frac{d}{d θ} (θ cos (θ))

\frac{d}{d θ} (sin (θ)) = cos (θ)

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

= cos (θ) + cos (θ) - θ sin (θ)

Vereinfache

= 2 cos (θ) - θ sin (θ)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2sin(3x+2y))

\frac{\partial}{\partial x} (2 sin (3 x + 2 y))

integral of (sqrt(y+1))/y

\int \frac{y + 1}{y} d y

derivative of e^xcos(x^2)

\frac{d}{d x} (e^{x} cos (x^{2}))

limit as y approaches-1 of-y^5-3y^4

y \to - 1 lim (- y^{5} - 3 y^{4})

tangent f(x)=e^{2x},(0,1)

t an g e n t f (x) = e^{2 x}, (0, 1)