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Beliebt Rechnen >

(\partial)/(\partial y)(x^2-4y^2)

Lösung

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

Lösung

- 8 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (4 y^{2}) = 8 y

= 0 - 8 y

Vereinfache

= - 8 y

Beliebte Beispiele

steigung (0,-2),(-1/2 ,3)

s l o p e (0, - 2), (- \frac{1}{2}, 3)

sum from n=5 to infinity of 1/(n(n+1))

n = 5 \sum \infty \frac{1}{n ( n + 1 )}

(dy)/(dx)=sin(5x)

\frac{d y}{d x} = sin (5 x)

integral of 5x-1

\int 5 x - 1 d x

(dP)/(dt)+2tP=P+8t-4

\frac{d P}{d t} + 2 tP = P + 8 t - 4