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人気のある微分積分 >

derivative of y^2=2ax

解

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

解

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

解答ステップ

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

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

であれば

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

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

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

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

分離する

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

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

グラフ

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