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Beliebt Rechnen >

implicit (dy)/(dx),x^2-y^2=64

Lösung

implizite ableitung

\frac{d y}{d x}, x^{2} - y^{2} = 64

Lösung

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

Schritte zur Lösung

x^{2} - y^{2} = 64

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

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

Isoliere

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

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

Beliebte Beispiele

derivative of sec(pi/4)

\frac{d}{d x} (sec (\frac{π}{4}))

derivative cos((x+1)/(x-1))

d er i v a t i v e cos (\frac{x + 1}{x - 1})

derivative F(x)= 3/(1+x^2)

d er i v a t i v e F (x) = \frac{3}{1 + x ^{2}}

integral of sqrt(3x-5)

\int 3 x - 5 d x

(\partial)/(\partial z)(x^2y)

\frac{\partial}{\partial z} (x^{2} y)