(\partial)/(\partial y)(600-4x+10x^2y)

Lösung

\frac{\partial}{\partial y} (600 - 4 x + 10 x^{2} y)

10 x^{2}

Schritte zur Lösung

\frac{\partial}{\partial y} (600 - 4 x + 10 x^{2} y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (600) - \frac{\partial}{\partial y} (4 x) + \frac{\partial}{\partial y} (10 x^{2} y)

\frac{\partial}{\partial y} (600) = 0

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

\frac{\partial}{\partial y} (10 x^{2} y) = 10 x^{2}

= 0 - 0 + 10 x^{2}

Vereinfache

= 10 x^{2}

\int_{\frac{1}{2}}^{2} \frac{2}{x} - \frac{1}{2} x d x

\int \frac{4 - 32 x}{81 - 16 x ^{2}} d x

x \to 3 lim (\frac{9 + x}{3 - x})

d er i v a t i v e f (x) = - x^{2} - 3 x + 4

y^{^{'}} + x^{2} y = 1