derivative of sqrt(x^2-cx)

解答

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

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

求解步骤

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

使用连锁律:

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

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

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

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

化简

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

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

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

ln (x) \frac{d y}{d x} + \frac{y}{x} = x ln (x)

\frac{d}{d x} ((3 - 5 x)^{5})

\frac{d}{d x} (\frac{x ^{4}}{x - 1})

a re a x = \frac{12 - y ^{2}}{4}, x = y