M2 DIFFERENATIATION

2010-12-04 11:53 pm
PLEASE SHOW ME THE STEPS.

57. Consider y = ln (sin2x)^3

a) Find dy/dx and d^2y / dx^2

b) Show that 3 (d^2y/ dx^2) + (dy/dx)^2 + 36 =0


Ans: a) dy/dx = 6cot 2x

d^2y /dx^2 = -12(csc 2x)^2





59. a) If u = (1-2x) / (1+2x), find du/dx.

b) Let y^2 = sec u. Express dy/dx in terms of u.

ans: a) - [4/ (1+2x)^2 ]

b) +/- (1/2) (1+u)^2 (tan u ) (sec u)^1/2


回答 (1)

2010-12-05 12:52 am
✔ 最佳答案
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2010-12-04 16:52:35 補充:
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