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Beliebt Rechnen >

d/(dθ)(cos(θ)-θsin(θ))

Lösung

\frac{d}{d θ} (cos (θ) - θ sin (θ))

Lösung

- 2 sin (θ) - θ cos (θ)

Schritte zur Lösung

\frac{d}{d θ} (cos (θ) - θ sin (θ))

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d θ} (cos (θ)) = - sin (θ)

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

= - sin (θ) - (sin (θ) + θ cos (θ))

Vereinfache

= - 2 sin (θ) - θ cos (θ)

Graph

Beliebte Beispiele

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(dy)/(dx)+2x^2=0

\frac{d y}{d x} + 2 x^{2} = 0

integral of (e^x)/(e^x+6)

\int \frac{e ^{x}}{e ^{x} + 6} d x

derivative xe^{-1/x}

d er i v a t i v e x e^{- \frac{1}{x}}

x(e^{y/x}-1)(dy)/(dx)=e^{y/x}(y-x)

x (e^{\frac{y}{x}} - 1) \frac{d y}{d x} = e^{\frac{y}{x}} (y - x)