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Beliebt Rechnen >

derivative of y^2=8x

Lösung

\frac{d}{d x} (y^{2}) = 8 x

Lösung

y = 4 x^{2} + c_{1}, y = - 4 x^{2} + c_{1}

Schritte zur Lösung

\frac{d}{d x} (y^{2}) = 8 x

Wenn

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

dann

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

y^{2} = \int 8 x d x

\int 8 x d x = 4 x^{2} + c_{1}

y^{2} = 4 x^{2} + c_{1}

Isoliere

y : y = 4 x^{2} + c_{1}, y = - 4 x^{2} + c_{1}

y = 4 x^{2} + c_{1}, y = - 4 x^{2} + c_{1}

Graph

Beliebte Beispiele

(x+1)(dy)/(dx)+1=e^{-y}

(x + 1) \frac{d y}{d x} + 1 = e^{- y}

y^{^{'}} + 4 x y = 4 e^{6} x

(dy)/(dt)=-0.7654sqrt(y)

\frac{d y}{d t} = - 0.7654 y

y^5(dy)/(dx)=5x^3y^6-15x^3

y^{5} \frac{d y}{d x} = 5 x^{3} y^{6} - 15 x^{3}

((9+x^2)dy)/(dx)-xy=x

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