A shoe company is planning a new brand of walking shoe for the market. Research shows that x, the number of shoes sold (in thousands) at a price of $p, can be approximated by - 2ln( р-30 dr where 31 < p Find 60 dp

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A shoe company is planning a new brand of walking shoe for the market, Research shows that
x, the number of shoes sold (in thousands) at a price of $p, can be approximated by
-2ln("
P-30
60
) where 31 <p Find
dp
dr
Transcribed Image Text:A shoe company is planning a new brand of walking shoe for the market, Research shows that x, the number of shoes sold (in thousands) at a price of $p, can be approximated by -2ln(" P-30 60 ) where 31 <p Find dp dr
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Step 1

A function f(x) is said to be differentiable at x=a where am, n,if:

limh0fa+h-fah

A function f is said to be differentiable in an open interval (m, n) if it is differentiable at each point of the open interval.

A function f:m, nR is said to be differential in the closed interval m, n if it is

  1. differentiable from right at m
  2. differentiable from the left at n
  3. differentiable in the open interval (m, n)

 

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