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人気のある微分積分 >

derivative of sqrt(3-x^2)

解

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

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

簡素化

\frac{1}{2 3 - x ^{2}} (- 2 x) : - \frac{x}{3 - x ^{2}}

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

グラフ

人気の例

sum from n=3 to infinity of 2/(n(n+3))

n = 3 \sum \infty \frac{2}{n ( n + 3 )}

(dh)/(dt)=4-16t^2,\quad h(1)=0

\frac{d h}{d t} = 4 - 16 t^{2}, h (1) = 0

limit as x approaches 1+of 8/(x^3-1)

x \to 1 + lim (\frac{8}{x ^{3} - 1})

tangent f(x)=(x^3-9x)^{10},(-3,0)

t an g e n t f (x) = (x^{3} - 9 x)^{10}, (- 3, 0)

d/(d{x)}({x}^{{y}{z}})

\frac{d}{d x} (x^{y z})