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Beliebt Rechnen >

d/(dθ)(θsin(θ))

Lösung

\frac{d}{d θ} (θ sin (θ))

Lösung

sin (θ) + θ cos (θ)

Schritte zur Lösung

\frac{d}{d θ} (θ sin (θ))

Wende die Produktregel an:

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

f = θ, g = sin (θ)

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

\frac{d θ}{d θ} = 1

\frac{d}{d θ} (sin (θ)) = cos (θ)

= 1 \cdot sin (θ) + cos (θ) θ

Vereinfache

= sin (θ) + θ cos (θ)

Graph

Beliebte Beispiele

tangent x^2+3x-2

t an g e n t x^{2} + 3 x - 2

(d^3)/(dx^3)(arctan(x))

\frac{d ^{3}}{d x ^{3}} (arctan (x))

derivative-0.1x^2-x+40

d er i v a t i v e - 0.1 x^{2} - x + 40

integral of 7xe^{(3x-1)}

\int 7 x e^{(3 x - 1)} d x

sum from n=1 to infinity of (n!)/(108^n)

n = 1 \sum \infty \frac{n !}{10 8 ^{n}}