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人気のある微分積分 >

derivative sqrt(2+x^2)

解

導関数

2 + x^{2}

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

簡素化

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

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

グラフ

人気の例

sum from n=0 to infinity of 2(-2/3)^n

n = 0 \sum \infty 2 (- \frac{2}{3})^{n}

tangent 1/3 x^3-3x^2-16x+8

t an g e n t \frac{1}{3} x^{3} - 3 x^{2} - 16 x + 8

y^'cot^2(x)+tan(y)=0

y^{^{'}} cot^{2} (x) + tan (y) = 0

integral from-3 to 3 of x^2

\int_{- 3}^{3} x^{2} d x

y^'=-1-4x+2y,y(0)=5

y^{^{'}} = - 1 - 4 x + 2 y, y (0) = 5