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

Lösung

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

4 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (x^{2}) = 0

\frac{\partial}{\partial y} (2 y^{2}) = 4 y

= 0 + 4 y

Vereinfache

= 4 y

\int_{0}^{3} (- x^{2} + x - 1) d x

\int_{1}^{16} \frac{1}{x} d x

\int \frac{2 x}{3 ( x ^{2} + 1 )} d x

\frac{d}{d x} (x^{12} ln (x))

\frac{d}{d x} ((x sin (2 x))^{\frac{3}{2}})