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人気のある微分積分 >

f^'x=(2x)(x^4-8x)+(x^2)(4x^3-8)

解

f^{^{'}} x = (2 x) (x^{4} - 8 x) + (x^{2}) (4 x^{3} - 8)

解

f (x) = 6 (\frac{x ^{5}}{5} - 2 x^{2}) + c_{1}

解答ステップ

f^{'} (x) x = (2 x) (x^{4} - 8 x) + (x^{2}) (4 x^{3} - 8)

分離する

f^{'} (x) : f^{'} (x) = 6 x (x^{3} - 4)

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

であれば

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

f (x) = \int 6 x (x^{3} - 4) d x

\int 6 x (x^{3} - 4) d x = 6 (\frac{x ^{5}}{5} - 2 x^{2}) + c_{1}

f (x) = 6 (\frac{x ^{5}}{5} - 2 x^{2}) + c_{1}

グラフ

人気の例

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