Posted by Jacob on Thursday, February 21, 2013 at 3:52pm.
Use differentials to approximate the quantity (give answer to 4 decimal places)
4th root of 256.6.

Applied Calculus  Tperry, Thursday, February 21, 2013 at 3:57pm
4.00234169288

Applied Calculus  Steve, Thursday, February 21, 2013 at 5:51pm
If y = x^1/4,
dy = 1/4 x^3/4 dx
setting x = 256
dx = .6, we get
dy = 1/4 (256^3/4)(.6)
= (1/4)(1/64)(.6)
= 0.00234
so, y ~= y+dy = 4.00234
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