derivative of bcos(x+x^2sin(x))

Lösung

\frac{d}{d x} (b cos (x) + x^{2} sin (x))

- b sin (x) + 2 x sin (x) + cos (x) x^{2}

Schritte zur Lösung

\frac{d}{d x} (b cos (x) + x^{2} sin (x))

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (b cos (x)) = - b sin (x)

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

= - b sin (x) + 2 x sin (x) + cos (x) x^{2}

y \to - 1 lim (y^{3} - 2 y^{2} + 3 y - 4)

l a pl a ce t r an s f or m \frac{1}{2} + \frac{1}{2} cos (2 t)

\int_{0}^{4} \frac{4}{2 x + 1} d x

\int 2 t^{2} d t

l a pl a ce t r an s f or m cos (3 t + 5) e^{2 t}