Lewis Perkins
03/03/2023 · Senior High School

Math 110 Course Resources - Implicit Differentiaion \& Related Rates Course Packet on computing elasticity of demand using implicit differentiation The demand function for a certain brand of compact discs is given by where \( p \) is the wholesale unit price in dollars and \( x \) is the quantity demanded each week, measured in units of a thousand (a) Compute the price, \( p \), when \( x=2 \). Price, \( p=\square \) dollars Rate of change of demand, \( x^{\prime}=\square \) (b) Use implicit differentiation to compute the rate of change of demand with respect to price, \( p \), when \( x=2 \). Do not round your answer. Elasticity of Demand \( =\square \) thousands of units per dollar (c) Compute the elasticity of demand when \( x=2 \). Do not round your answer.

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(a) Price \( p = 6 \) dollars; Rate of change of demand \( x' \) not specified (b) Elasticity of Demand \( = -\frac{1}{2} \) thousands of units per dollar (c) Elasticity of demand when \( x = 2 \) is \( E = -\frac{3}{2} \).

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