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人気のある微分積分 >

derivative of (x+sqrt(x)^2)

解

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

解

2 x + 3 x + 1

解答ステップ

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

連鎖法則を適用:

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

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

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

= 2 (x + x) (1 + \frac{1}{2 x})

簡素化

2 (x + x) (1 + \frac{1}{2 x}) : 2 x + 3 x + 1

= 2 x + 3 x + 1

グラフ

人気の例

面積 y= 1/(18x^2),y=x,y= x/6

a re a y = \frac{1}{18 x ^{2}}, y = x, y = \frac{x}{6}

integral of 1/(-x^2-a+b)

\int \frac{1}{- x ^{2} - a + b} d x

limit as x approaches 1 of x^{1/(x^2-1)}

x \to 1 lim (x^{\frac{1}{x ^{2} - 1}})

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\frac{d}{d x} (ln (x^{4} 8 - 6 x))