(\partial)/(\partial y)(3x^2-12y)

Lösung

\frac{\partial}{\partial y} (3 x^{2} - 12 y)

- 12

Schritte zur Lösung

\frac{\partial}{\partial y} (3 x^{2} - 12 y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (3 x^{2}) - \frac{\partial}{\partial y} (12 y)

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

\frac{\partial}{\partial y} (12 y) = 12

= 0 - 12

Vereinfache

= - 12

t an g e n t y = (\frac{x + 1}{x - 1})^{2}, (3, 4)

\int_{0}^{1} arcsin (y) d y

t an g e n t f (x) = x^{4} - 25 x^{2} + 144, at x = - 1

t a y l or e^{\frac{x}{5}}

d er i v a t i v e 14 e^{x^{2}} x