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Beliebt Rechnen >

derivative of x^2+3y^2-3

Lösung

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

Lösung

2 x + 6 y \frac{d y}{d x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (3 y^{2}) - \frac{d}{d x} (3)

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

\frac{d}{d x} (3 y^{2}) = 6 y \frac{d y}{d x}

\frac{d}{d x} (3) = 0

= 2 x + 6 y \frac{d y}{d x} - 0

Vereinfache

= 2 x + 6 y \frac{d y}{d x}

Beliebte Beispiele

\frac{d y}{d t} + 5 y = 0

tangent f(x)=2x^3,(2,16)

t an g e n t f (x) = 2 x^{3}, (2, 16)

limit as x approaches 3+of (x^2+1)/(x-3)

x \to 3 + lim (\frac{x ^{2} + 1}{x - 3})

steigung (-8,-2),(1,4)

s l o p e (- 8, - 2), (1, 4)

(\partial)/(\partial x)(9ycos(xy))

\frac{\partial}{\partial x} (9 y cos (x y))