d/(dt)(acos^3(t))

Lösung

\frac{d}{d t} (a cos^{3} (t))

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

Schritte zur Lösung

\frac{d}{d t} (a cos^{3} (t))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= a \cdot 3 (cos (t))^{2} (- sin (t))

Vereinfache

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

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

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

\frac{d y}{d x} = \frac{- 2 x}{y}

t an g e n t y = x + x

(x + y e^{(\frac{y}{x})}) d x - (x e^{\frac{y}{x}}) d y = 0