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Beliebt Rechnen >

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

Lösung

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

Lösung

- 2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 0 - 2 x + 0

Vereinfache

= - 2 x

Beliebte Beispiele

tangent 2e^{x-2}

t an g e n t 2 e^{x - 2}

derivative \sqrt[3]{7x^6+8x^5}

d er i v a t i v e 3 7 x^{6} + 8 x^{5}

sin(x)sin(y)+y^'cos(y)=0

sin (x) sin (y) + y^{^{'}} cos (y) = 0

derivative of 3x^2-6x+7

\frac{d}{d x} (3 x^{2} - 6 x + 7)

derivative (sqrt(x)+1)/(x^2+1)

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