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

Lösung

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

2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (3 y^{2}) = 0

= 2 x + 0

Vereinfache

= 2 x

t an g e n t f (x) = x^{2} + 8, (5, 33)

t an g e n t y = \frac{8}{x}, (2, 4)

x \to \infty lim (x^{3} + x)

\int \frac{4 x + 13}{x ^{2} + 3 x - 10} d x

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