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Beliebt Rechnen >

derivative of y^2=x^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wenn

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

dann

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

y^{2} = \int x^{2} d x

\int x^{2} d x = \frac{x ^{3}}{3} + c_{1}

y^{2} = \frac{x ^{3}}{3} + c_{1}

Isoliere

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

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

Graph

Beliebte Beispiele

(dy)/(dx)2sqrt(xy)=1

\frac{d y}{d x} 2 x y = 1

derivative of 2^x+2^y=2^{x+y}

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

(dy)/(dx)=8x^6y-y,(1)=-2

\frac{d y}{d x} = 8 x^{6} y - y, (1) = - 2

(dy)/(dx)+50y= 1/2 ,y(0)=0

\frac{d y}{d x} + 50 y = \frac{1}{2}, y (0) = 0

y^'=8t-10t-2t*y

y^{^{'}} = 8 t - 10 t - 2 t \cdot y