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posted by  roygbiv on 7/24/2008 6:36:40 AM  |  status: Live  

differential

Course Textbook Chapter Problem
Calculus N/A N/A N/A
Question Details:
Use differentials to approximate 3√26.

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posted by Archit on 7/24/2008 6:56:14 AM  |  status: Live
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Response Details:
Let us take x = 27 and Δx = -1. Then
Putting the values of x and Δx in this expression,
As dy is approximately equal to Δy, so
Substituting values, we get Δy = -0.037
∴
Tags: Math, Calculus
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posted by Achilles on 7/24/2008 7:07:06 AM  |  status: Live
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Response Details:


f(x)=x1/3.................................>f '(x)=1/3x-2/3
Let  x = 27 then h = -1.

f'(27)=3..............................>f '(27)=1/27
since f(a+h)˜f(a)+hf '(a)∴3√26. ˜ 3-1/27=2.96
Tags: Math, Calculus
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