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Beliebt Rechnen >

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

Lösung

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

Lösung

- 2 x

Schritte zur Lösung

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

Vereinfache

- (x^{2} + y^{2}) : - x^{2} - y^{2}

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= - 2 x - 0

Vereinfache

= - 2 x

Beliebte Beispiele

limit as x approaches 1-of 2x+2

x \to 1 - lim (2 x + 2)

tangent-3x^2-8x

t an g e n t - 3 x^{2} - 8 x

y^{''}+8y^'+16y=0

y^{^{''}} + 8 y^{^{'}} + 16 y = 0

\frac{d y}{d x} = x^{5} y

d/(dt)((t^2+2)/(t^4-3t^2+1))

\frac{d}{d t} (\frac{t ^{2} + 2}{t ^{4} - 3 t ^{2} + 1})