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

Lösung

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

2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 + 2 y

Vereinfache

= 2 y

\int 6 x \cdot csc^{2} (8 x^{2}) d x

x \to 0 + lim (e^{\frac{- 1}{x}})

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

t \to 1 lim ((3 t - 1) (5 t^{2} + 2))

\frac{d}{d x} (sin (x) ln (9 x))