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人気のある微分積分 >

derivative of f(x)=x^2+8x+7

解

\frac{d}{d x} f (x) = x^{2} + 8 x + 7

解

f (x) = \frac{x ^{3}}{3} + 4 x^{2} + 7 x + c_{1}

解答ステップ

\frac{df}{d x} = x^{2} + 8 x + 7

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

であれば

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

f (x) = \int x^{2} + 8 x + 7 d x

\int x^{2} + 8 x + 7 d x = \frac{x ^{3}}{3} + 4 x^{2} + 7 x + c_{1}

f (x) = \frac{x ^{3}}{3} + 4 x^{2} + 7 x + c_{1}

グラフ

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