(\partial)/(\partial y)(x^4+2x^2y)

Lösung

\frac{\partial}{\partial y} (x^{4} + 2 x^{2} y)

2 x^{2}

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{4} + 2 x^{2} y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (x^{4}) = 0

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

= 0 + 2 x^{2}

Vereinfache

= 2 x^{2}

n = 0 \sum \infty n \cdot sin (n \cdot π)

\int \frac{x ^{2} - 5 x + 6}{x - 2} d x

\int \frac{( x + 5 )}{3 x + 9} d x

t an g e n t f (x) = 9 - x, at x = 0

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