derivative sqrt(r^2-9x^2)

解答

导数

r^{2} - 9 x^{2}

- \frac{9 x}{r ^{2} - 9 x ^{2}}

求解步骤

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

使用连锁律:

\frac{1}{2 r ^{2} - 9 x ^{2}} \frac{d}{d x} (r^{2} - 9 x^{2})

= \frac{1}{2 r ^{2} - 9 x ^{2}} \frac{d}{d x} (r^{2} - 9 x^{2})

\frac{d}{d x} (r^{2} - 9 x^{2}) = - 18 x

= \frac{1}{2 r ^{2} - 9 x ^{2}} (- 18 x)

化简

\frac{1}{2 r ^{2} - 9 x ^{2}} (- 18 x) : - \frac{9 x}{r ^{2} - 9 x ^{2}}

= - \frac{9 x}{r ^{2} - 9 x ^{2}}

N - 0.0002 N^{2} = \frac{d N}{d t}

x \to \infty + lim (x^{10})

\frac{\partial}{\partial x} (\frac{1}{cos ^{2} ( x )})

\int x 3 x^{2} - 1 d x

\int x^{3} - \frac{4}{3 x} + \frac{9}{x} + 6 e^{x} d x