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人気のある微分積分 >

derivative of [f(x^2)]=x^5

解

\frac{d}{d x} [f (x^{2})] = x^{5}

解

f (x) = \frac{x ^{4}}{6} + \frac{c _{1}}{x ^{2}}

解答ステップ

\frac{d}{d x} (f (x) (x^{2})) = x^{5}

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

であれば

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

f (x) x^{2} = \int x^{5} d x

\int x^{5} d x = \frac{x ^{6}}{6} + c_{1}

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

分離する

f (x) : f (x) = \frac{x ^{4}}{6} + \frac{c _{1}}{x ^{2}}

f (x) = \frac{x ^{4}}{6} + \frac{c _{1}}{x ^{2}}

グラフ

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