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Beliebt Rechnen >

(\partial)/(\partial x)(2x^2+5y^2-xy)

Lösung

\frac{\partial}{\partial x} (2 x^{2} + 5 y^{2} - x y)

Lösung

4 x - y

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{2} + 5 y^{2} - x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x^{2}) + \frac{\partial}{\partial x} (5 y^{2}) - \frac{\partial}{\partial x} (x y)

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

\frac{\partial}{\partial x} (5 y^{2}) = 0

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

= 4 x + 0 - y

Vereinfache

= 4 x - y

Beliebte Beispiele

integral from x to x^2 of e^{t^2}

\int_{x}^{x^{2}} e^{t^{2}} d t

derivative tan^4(x^3)

d er i v a t i v e tan^{4} (x^{3})

fläche f(x)=x^2,x=5

a re a f (x) = x^{2}, x = 5

f(x)=(sin(x))/(1+2cos(x))

f (x) = \frac{sin ( x )}{1 + 2 cos ( x )}

y^{^{'}} = y - 2