求描述气膨胀状态的函数r(V)=(3V/4π)开三次根的导数?
问题描述:
求描述气膨胀状态的函数r(V)=(3V/4π)开三次根的导数?
答
r(V)=(3V/4π)开三次根
=(3V/4π)^(1/3)
r'(V)=[(3V/4π)^(1/3)]'
=1/3*3/4π*(3V/4π)^(1/3-1)
=1/[4π*(3V/4π)^(2/3)]