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Beliebt Rechnen >

d/(dt)(ccos(t)+t^2sin(t))

Lösung

\frac{d}{d t} (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 6/(x^2(x^2+25))

\int \frac{6}{x ^{2} ( x ^{2} + 25 )} d x

limit as x approaches 0 of x^2+x+1

x \to 0 lim (x^{2} + x + 1)

e^{x - y} y^{^{'}} = x - 3

(\partial)/(\partial z)(x^2+y^2z)

\frac{\partial}{\partial z} (x^{2} + y^{2} z)

laplacetransform-8e^{pi-t}

l a pl a ce t r an s f or m - 8 e^{π - t}