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Beliebt Rechnen >

(\partial)/(\partial x)(x^2y+sqrt(y))

Lösung

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

Lösung

2 x y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y x + 0

Vereinfache

= 2 x y

Beliebte Beispiele

derivative f(x)=-3x^3+2x^2-4x+7

d er i v a t i v e f (x) = - 3 x^{3} + 2 x^{2} - 4 x + 7

derivative of 2.873sec(x)

\frac{d}{d x} (2.873 sec (x))

integral of (1/(1+sin(x)))

\int (\frac{1}{1 + sin ( x )}) d x

tangent y=(x^2-x)ln(6x),\at x=2

t an g e n t y = (x^{2} - x) ln (6 x), at x = 2

integral of xsqrt(x)+2

\int x x + 2 d x