derivative sqrt(16-x^2)

解答

导数

16 - x^{2}

- \frac{x}{16 - x ^{2}}

求解步骤

\frac{d}{d x} (16 - x^{2})

使用连锁律:

\frac{1}{2 16 - x ^{2}} \frac{d}{d x} (16 - x^{2})

= \frac{1}{2 16 - x ^{2}} \frac{d}{d x} (16 - x^{2})

\frac{d}{d x} (16 - x^{2}) = - 2 x

= \frac{1}{2 16 - x ^{2}} (- 2 x)

化简

\frac{1}{2 16 - x ^{2}} (- 2 x) : - \frac{x}{16 - x ^{2}}

= - \frac{x}{16 - x ^{2}}

\frac{\partial}{\partial x} (x^{2} + 16)

θ \to 0 lim (\frac{sin ^{2} ( θ )}{θ})

\frac{d}{d x} ((5 x^{6} + 4 x^{3})^{4})

\frac{d}{d x} (ln (9 - x^{2}))

t an g e n t f (x) = (9 x^{9} - 9) (8 - 8 x^{8}), at x = 0