(\partial)/(\partial s)(st-3)

Lösung

\frac{\partial}{\partial s} (s t - 3)

t

Schritte zur Lösung

\frac{\partial}{\partial s} (s t - 3)

Behandle

t

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial s} (s t) - \frac{\partial}{\partial s} (3)

\frac{\partial}{\partial s} (s t) = t

\frac{\partial}{\partial s} (3) = 0

= t - 0

Vereinfache

= t

\frac{\partial}{\partial x} (x^{2} + 2 y^{2} - 1)

\int \frac{x ^{2}}{2 - x ^{2}} d x

\frac{\partial}{\partial y} (x e^{3 y})

\frac{\partial}{\partial x} (\frac{4 x - 3 y}{4 x + 3 y})

d er i v a t i v e f (x) = - 16 t^{2} - 8 t + 64