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Beliebt Rechnen >

(\partial)/(\partial y)(2xy^2+y)

Lösung

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

Lösung

4 x y + 1

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (2 x y^{2}) = 4 x y

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

= 4 x y + 1

Beliebte Beispiele

derivative f(x)=(x/(x^2+1))^2

d er i v a t i v e f (x) = (\frac{x}{x ^{2} + 1})^{2}

(dy)/(dx)+y=xe^{-x}+1

\frac{d y}{d x} + y = x e^{- x} + 1

sum from n=0 to infinity of 1/(n(n+2))

n = 0 \sum \infty \frac{1}{n ( n + 2 )}

limit as x approaches 5 of x^2-25

x \to 5 lim (x^{2} - 25)

derivative of x(x^2+1^2)

\frac{d}{d x} (x (x^{2} + 1)^{2})