derivative of x^2+y^2=16

解

\frac{d}{d x} (x^{2} + y^{2}) = 16

y = 16 x + c_{1} - x^{2}, y = - 16 x + c_{1} - x^{2}

解答ステップ

\frac{d}{d x} (x^{2} + y^{2}) = 16

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

であれば

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

x^{2} + y^{2} = \int 16 d x

\int 16 d x = 16 x + c_{1}

x^{2} + y^{2} = 16 x + c_{1}

分離する

y : y = 16 x + c_{1} - x^{2}, y = - 16 x + c_{1} - x^{2}

y = 16 x + c_{1} - x^{2}, y = - 16 x + c_{1} - x^{2}