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人気のある微分積分 >

derivative y=sqrt(x^2+3)

解

導関数

y = x^{2} + 3

解

\frac{x}{x ^{2} + 3}

解答ステップ

\frac{d}{d x} (x^{2} + 3)

連鎖法則を適用:

\frac{1}{2 x ^{2} + 3} \frac{d}{d x} (x^{2} + 3)

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

\frac{d}{d x} (x^{2} + 3) = 2 x

= \frac{1}{2 x ^{2} + 3} \cdot 2 x

簡素化

\frac{1}{2 x ^{2} + 3} \cdot 2 x : \frac{x}{x ^{2} + 3}

= \frac{x}{x ^{2} + 3}

グラフ

人気の例

integral from 1 to 4 of 7/(x^2)

\int_{1}^{4} \frac{7}{x ^{2}} d x

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(9 x + 3) + (9 y - 9) y^{^{'}} = 0

integral from 0 to 3 of (x+sqrt(9-x^2))

\int_{0}^{3} (x + 9 - x^{2}) d x

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\int_{1}^{2} cos (x^{2}) d x

(\partial)/(\partial y)(x^2+xy)

\frac{\partial}{\partial y} (x^{2} + x y)