d/(dt)(cos^3(t)+sin^3(t))

Lösung

\frac{d}{d t} (cos^{3} (t) + sin^{3} (t))

- 3 cos^{2} (t) sin (t) + 3 sin^{2} (t) cos (t)

Schritte zur Lösung

\frac{d}{d t} (cos^{3} (t) + sin^{3} (t))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (cos^{3} (t)) + \frac{d}{d t} (sin^{3} (t))

\frac{d}{d t} (cos^{3} (t)) = - 3 cos^{2} (t) sin (t)

\frac{d}{d t} (sin^{3} (t)) = 3 sin^{2} (t) cos (t)

= - 3 cos^{2} (t) sin (t) + 3 sin^{2} (t) cos (t)

\frac{\partial}{\partial z} (3 e^{x} cos (yz))

y^{^{''}} + a y = 0

n = 1 \sum \infty n^{2}

\int_{- 8}^{8} 64 - x^{2} d x

\frac{d y}{d x} = 3 - 6 x + y - 2 x y