de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial}{\partial y}(166x+456y-\frac{5000)/x-(1080)/y+43590)

Lösung

\frac{\partial}{\partial y} (166 x + 456 y - \frac{5000}{x} - \frac{1080}{y} + 43590)

Lösung

\frac{1080}{y ^{2}} + 456

Schritte zur Lösung

\frac{\partial}{\partial y} (166 x + 456 y - \frac{5000}{x} - \frac{1080}{y} + 43590)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (166 x) + \frac{\partial}{\partial y} (456 y) - \frac{\partial}{\partial y} (\frac{5000}{x}) - \frac{\partial}{\partial y} (\frac{1080}{y}) + \frac{\partial}{\partial y} (43590)

\frac{\partial}{\partial y} (166 x) = 0

\frac{\partial}{\partial y} (456 y) = 456

\frac{\partial}{\partial y} (\frac{5000}{x}) = 0

\frac{\partial}{\partial y} (\frac{1080}{y}) = - \frac{1080}{y ^{2}}

\frac{\partial}{\partial y} (43590) = 0

= 0 + 456 - 0 - (- \frac{1080}{y ^{2}}) + 0

Vereinfache

= \frac{1080}{y ^{2}} + 456

Beliebte Beispiele

integral of 6xcsc(6x)cot(6x)

\int 6 x csc (6 x) cot (6 x) d x

tangent f(x)=(64)/(x^2+16),\at x=-4

t an g e n t f (x) = \frac{64}{x ^{2} + 16}, at x = - 4

derivative 5e^{-t}

d er i v a t i v e 5 e^{- t}

derivative of sqrt(arcsin(x))

\frac{d}{d x} (arcsin (x))

limit as x approaches-1 of 1-x^2

x \to - 1 lim (1 - x^{2})