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

Lösung

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

x^{2} + 1

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{\partial}{\partial y} (y) = 1

= x^{2} + 0 + 1

Vereinfache

= x^{2} + 1

x \to 1 lim (- x^{2} + 5 x - 7)

\frac{\partial}{\partial y} (x + y cos (x))

x \to 0 lim (cos (0))

\int \frac{x ^{2} + 1}{e ^{x}} d x

\frac{d x}{d t} + 4 t x^{3} + \frac{x}{t} = 0