Given that x =2t and y = t^- 2, where t is a real non-zero parameter,
find dy/dx and d^2 y/dx^2 interms of t.
parametric equation
2013-05-03 2:38 am
回答 (1)
2013-05-03 4:36 am
✔ 最佳答案
dy/dt = -2/t^3, dx/dt = 2So, dy/dx = (dy/dt)/(dx/dt) = -1/t^3
d^2y/dx^2
= d/dx(dy/dx)
= d/dt(dy/dx) * dt/dx
= 3/t^4 * 1/2
= 3/(2t^4)
收錄日期: 2021-04-27 19:52:44
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