y=arccosx/(√1-x^2)
导数的除法法则(u/v)'=(u'v-v'u)/(v^2)
y'={[(-1)(√1-x^2)/(√1-x^2)]+xarccosx/(√1-x^2)}/(1-x^2)
=xarccosx/(1-x^2)^(3/2) -1/(1-x^2)
=[1/(x^2 -1)] + xarccosx/[(1-x^2)^(3/2) ]
请指教呀
y=arccosx/(√1-x^2)
导数的除法法则(u/v)'=(u'v-v'u)/(v^2)
y'={[(-1)(√1-x^2)/(√1-x^2)]+xarccosx/(√1-x^2)}/(1-x^2)
=xarccosx/(1-x^2)^(3/2) -1/(1-x^2)
=[1/(x^2 -1)] + xarccosx/[(1-x^2)^(3/2) ]
请指教呀