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人気のある微分積分 >

f^'(x)=6x^2-8x,f(3)=27

解

f^{^{'}} (x) = 6 x^{2} - 8 x, f (3) = 27

解

f (x) = 2 x^{3} - 4 x^{2} + 9

解答ステップ

f^{'} (x) = 6 x^{2} - 8 x

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

であれば

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

f (x) = \int 6 x^{2} - 8 x d x

\int 6 x^{2} - 8 x d x = 2 x^{3} - 4 x^{2} + c_{1}

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

初期条件を適用する:

f (x) = 2 x^{3} - 4 x^{2} + 9

f (x) = 2 x^{3} - 4 x^{2} + 9

グラフ

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