(\partial)/(\partial y)(2x-3y+5)

Lösung

\frac{\partial}{\partial y} (2 x - 3 y + 5)

- 3

Schritte zur Lösung

\frac{\partial}{\partial y} (2 x - 3 y + 5)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (2 x) - \frac{\partial}{\partial y} (3 y) + \frac{\partial}{\partial y} (5)

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

\frac{\partial}{\partial y} (3 y) = 3

\frac{\partial}{\partial y} (5) = 0

= 0 - 3 + 0

Vereinfache

= - 3

d er i v a t i v e (x^{2} + 2) (x^{3} + 6)

\int cos (x) e^{- s x} d x

\frac{\partial}{\partial x} (x^{2} + 1 + z^{3})

s l o p e (\frac{5}{8}, - 2), (- \frac{1}{4}, - \frac{1}{4})

t an g e n t y^{2} - x y - 10 = 0, (- 3, - 5)