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人気のある微分積分 >

f^'(x)=sqrt(x+4)

解

f^{^{'}} (x) = x + 4

解

f (x) = \frac{2}{3} (x + 4)^{\frac{3}{2}} + c_{1}

解答ステップ

f^{'} (x) = x + 4

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

であれば

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

f (x) = \int x + 4 d x

\int x + 4 d x = \frac{2}{3} (x + 4)^{\frac{3}{2}} + c_{1}

f (x) = \frac{2}{3} (x + 4)^{\frac{3}{2}} + c_{1}

グラフ

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