(\partial)/(\partial y)(3x^2y+cos(y))

Lösung

\frac{\partial}{\partial y} (3 x^{2} y + cos (y))

3 x^{2} - sin (y)

Schritte zur Lösung

\frac{\partial}{\partial y} (3 x^{2} y + cos (y))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (3 x^{2} y) + \frac{\partial}{\partial y} (cos (y))

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

\frac{\partial}{\partial y} (cos (y)) = - sin (y)

= 3 x^{2} - sin (y)

n \to \infty lim (n + 1)

\int 9 tan^{3} (θ) d θ

x \to 2 lim (4 x^{2} + 5 x + 3)

d er i v a t i v e f (x) = x^{2} (2 x + 9)^{3}

\int_{0}^{π} cos (4 x) d x