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人気のある微分積分 >

y^'=-sqrt(x)

解

y^{^{'}} = - x

解

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

解答ステップ

y^{'} (x) = - x

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

であれば

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

y = \int - x d x

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

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

グラフ

人気の例

derivative y=((x^2+6)/(x^2-6))^3

d er i v a t i v e y = (\frac{x ^{2} + 6}{x ^{2} - 6})^{3}

derivative of arcsin(3x+arccos(3x))

\frac{d}{d x} (arcsin (3 x) + arccos (3 x))

derivative of arccot(x/8)

\frac{d}{d x} (arccot (\frac{x}{8}))

limit as x approaches 0 of (1+x)^{3/x}

x \to 0 lim ((1 + x)^{\frac{3}{x}})

y^{''}-5/t y^'+(18)/(t^2)y=0

y^{^{''}} - \frac{5}{t} y^{^{'}} + \frac{18}{t ^{2}} y = 0