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Beliebt Rechnen >

(\partial)/(\partial y)(20(y-x^2))

Lösung

\frac{\partial}{\partial y} (20 (y - x^{2}))

Lösung

20

Schritte zur Lösung

\frac{\partial}{\partial y} (20 (y - x^{2}))

Behandle

x

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 20 \frac{\partial}{\partial y} (y - x^{2})

Wende die Summen-/Differenzregel an:

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

= 20 (\frac{\partial}{\partial y} (y) - \frac{\partial}{\partial y} (x^{2}))

\frac{\partial}{\partial y} (y) = 1

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

= 20 (1 - 0)

Vereinfache

= 20

Beliebte Beispiele

limit as x approaches 1 of (x^2+1)/(x+5)

x \to 1 lim (\frac{x ^{2} + 1}{x + 5})

(x+y)^2dx+(2xy+x^2-6)dy=0,y(1)=1

(x + y)^{2} d x + (2 x y + x^{2} - 6) d y = 0, y (1) = 1

derivative of (-6/x)

\frac{d}{d x} (\frac{- 6}{x})

(d^2)/(dx^2)((3x+5)/(x^2-x))

\frac{d ^{2}}{d x ^{2}} (\frac{3 x + 5}{x ^{2} - x})

integral of ln(3x+9)

\int ln (3 x + 9) d x