derivative y=sqrt(1-x^2)

解答

导数

y = 1 - x^{2}

- \frac{x}{1 - x ^{2}}

求解步骤

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

使用连锁律:

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

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

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

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

化简

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

= - \frac{x}{1 - x ^{2}}

l in e (3, 0), (0, - 2)

y = 3 x^{2}

t an g e n t y = \frac{2 x - 5}{x + 1}, at x = 0

p o l a r (4, 43)

p o l a r (- 3, 4)