This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Math 165 Special Assignment #2 Lowman Spring 2010 1. For some f ( x ) , f ( x ) = x 2 +2 x 8 . Find where f ( x ) is increasing and where it is decreasing. 2. For some f ( x ) , f ( x ) = x 2 + 2 x 8 . Find where f ( x ) is concave up and and where it is concave down. 3. For some f ( x ) , f ( x ) = 10 x 2 +60 x 50 . Find the x coordinates of all first order critical points and use the first derivative test to determine what kind of critical point at each x. 4. For some f ( x ) , f ( x ) = 10 x 2 +60 x 50 . Find the x coordinates of all first order critical points and use the second derivative test to determine what kind of critical point at each x. 5. Given f ( x ) = ( x 2 + 7 x + 1) p 5 x 2 + x ) find df dx at x = 1 . 6. A company estimates that the cost in dollars of producing x units of a certain product is C ( x ) = x 2 5 + 6 x + 1000 . Find the production level that minimizes average cost. Hint: find average cost, find all critical numbers for average cost, use the first or 2nd derivative test to...
View
Full
Document
This note was uploaded on 09/09/2010 for the course MATH 165 taught by Professor Staff during the Spring '08 term at Ill. Chicago.
 Spring '08
 STAFF
 Math, Calculus

Click to edit the document details