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Beliebt Rechnen >

(\partial)/(\partial x)(2x^2+2y-8)

Lösung

\frac{\partial}{\partial x} (2 x^{2} + 2 y - 8)

Lösung

4 x

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{2} + 2 y - 8)

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} (2 y) - \frac{\partial}{\partial x} (8)

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

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

\frac{\partial}{\partial x} (8) = 0

= 4 x + 0 - 0

Vereinfache

= 4 x

Beliebte Beispiele

tangent f(x)=sqrt(5x+6),(2,4)

t an g e n t f (x) = 5 x + 6, (2, 4)

derivative of sin(2x+3ln(e)+4sqrt(x))

\frac{d}{d x} (sin (2 x) + 3 ln (e) + 4 x)

steigung (4,2),(3,-1)

s l o p e (4, 2), (3, - 1)

(\partial)/(\partial θ)(cos^2(θ))

\frac{\partial}{\partial θ} (cos^{2} (θ))

integral of (cos(θ))^3

\int (cos (θ))^{3} d θ