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Beliebt Rechnen >

derivative ccos(t)+t^2sin(t)

Lösung

ableitung von

c cos (t) + t^{2} sin (t)

Lösung

- c sin (t) + 2 t sin (t) + cos (t) t^{2}

Schritte zur Lösung

\frac{d}{d t} (c cos (t) + t^{2} sin (t))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (c cos (t)) + \frac{d}{d t} (t^{2} sin (t))

\frac{d}{d t} (c cos (t)) = - c sin (t)

\frac{d}{d t} (t^{2} sin (t)) = 2 t sin (t) + cos (t) t^{2}

= - c sin (t) + 2 t sin (t) + cos (t) t^{2}

Graph

Beliebte Beispiele

integral of (2+2cos(θ))^2

\int (2 + 2 cos (θ))^{2} d θ

integral of 1/(4x^2+4x+10)

\int \frac{1}{4 x ^{2} + 4 x + 10} d x

(dy)/(dx)=(3x^2y)

\frac{d y}{d x} = (3 x^{2} y)

fläche 4x,8x^2

a re a 4 x, 8 x^{2}

tangent f(x)=x^2-4,\at x=-5,21

t an g e n t f (x) = x^{2} - 4, at x = - 5, 21