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Beliebt Rechnen >

implicit 2x^2+y^2-7=0

Lösung

implizite ableitung

2 x^{2} + y^{2} - 7 = 0

Lösung

\frac{d y}{d x} = - \frac{2 x}{y}

Schritte zur Lösung

2 x^{2} + y^{2} - 7 = 0

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

4 x + 2 y \frac{d y}{d x} = 0

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{2 x}{y}

\frac{d y}{d x} = - \frac{2 x}{y}

Beliebte Beispiele

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

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

derivative of (d^2/(dx^2)(x^4)+cos(x)+1)

\frac{d}{d x} (\frac{d ^{2}}{d x ^{2}} (x^{4}) + cos (x) + 1)

integral of 3x^3e^{5x^4}

\int 3 x^{3} e^{5 x^{4}} d x

y^{''}+3y^'-10y=0

y^{^{''}} + 3 y^{^{'}} - 10 y = 0

derivative of e^{x^4}*4x^3

\frac{d}{d x} (e^{x^{4}} \cdot 4 x^{3})