Asked by Jenna

Use differentials to approximate the value of the 4th root of 82

How do I even start?

Answers

Answered by Steve
let y = ∜x
dy = 1/(4∜x^3) dx

y(81) = 3
let dx=1
dy = 1/(4*27) (1) = 1/108

∜82 ≈ 3 + 1/108 = 3.009259

actually, ∜82 = 3.009216
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