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Implicit differentiation

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Find dy/dx by implicit differentiation.

1. (2x+3y)^1/3 = x^2

2. x^2y^1/2 = x + 2y^3

3. The demand function for a certain make of ink jet cartridge is

p= -0.01x^2 - 0.1x + 6

Where p is the unit price in dollars and x is the quantity demanded each week, measure in units of a thousand. Compute the elasticity of demand and determine whether the demand is elastic, inelastic, or unitary at x =10.

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Solution Summary

The process of finding the derivative of a function using implicit differentiation is examined, with three examples presented.
The solution is presented in a PDF file.

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