derivative y=ln(sqrt(1-x^2))

解答

导数

y = ln (1 - x^{2})

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

求解步骤

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

使用连锁律:

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

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

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

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

化简

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

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

\int_{0}^{y} 0.5 d x

d er i v a t i v e f (x) = cos (sin (tan (π x)))

x \to 4 lim (ln ∣ x - 4 ∣)

x^{3} + 3 y - x y^{^{'}} = 0

x \to \frac{π}{2} lim (tan^{2} (x))