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 -
**T-perry**, 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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