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Beliebt Rechnen >

derivative of x^2+(y^2/9)=1

Lösung

\frac{d}{d x} (x^{2} + \frac{y ^{2}}{9}) = 1

Lösung

y = 3 x + c_{1} - x^{2}, y = - 3 x + c_{1} - x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{2} + \frac{y ^{2}}{9}) = 1

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

x^{2} + \frac{y ^{2}}{9} = \int 1 d x

\int 1 d x = x + c_{1}

x^{2} + \frac{y ^{2}}{9} = x + c_{1}

Isoliere

y : y = 3 x + c_{1} - x^{2}, y = - 3 x + c_{1} - x^{2}

y = 3 x + c_{1} - x^{2}, y = - 3 x + c_{1} - x^{2}

Graph

Beliebte Beispiele

laplacetransform t^{3/2}

l a pl a ce t r an s f or m t^{\frac{3}{2}}

fläche y= 3/2 x,y=7-x^2

a re a y = \frac{3}{2} x, y = 7 - x^{2}

integral of t/(\sqrt[3]{t^2+9)}

\int \frac{t}{3 t ^{2} + 9} d t

y^{^{'}} = 8 y^{2}

integral of tsec(t)tan(t)

\int t sec (t) tan (t) d t