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Beliebt Rechnen >

derivative h(θ)=θcos(θ)

Lösung

ableitung von

h (θ) = θ cos (θ)

Lösung

cos (θ) - θ sin (θ)

Schritte zur Lösung

\frac{d}{d θ} (θ cos (θ))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = θ, g = cos (θ)

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

\frac{d θ}{d θ} = 1

\frac{d}{d θ} (cos (θ)) = - sin (θ)

= 1 \cdot cos (θ) + (- sin (θ)) θ

Vereinfache

= cos (θ) - θ sin (θ)

Graph

Beliebte Beispiele

integral of (xy^2)/(x^2+1)

\int \frac{x y ^{2}}{x ^{2} + 1} d y

limit as x approaches-infinity of tanh(x)

x \to - \infty lim (tanh (x))

integral of sec(t)tan(t)

\int sec (t) tan (t) d t

derivative g(x)=x^2(1-4x)

d er i v a t i v e g (x) = x^{2} (1 - 4 x)

derivative of e^x(1-x^2)

\frac{d}{d x} (e^{x} (1 - x^{2}))