MATH 120 Midterm: MATH 120 Chico State Exam SampleExam2Solutions

• School: Chico State University
• Department: Mathematics
• Course: MATH 120
• Professor: All

Document Summary

Sample exam 2 solutions d x 2( ) = 2 x dx means x 2( ) 2 x x and = as x 0. 5(x 2 + 2xh + h2 ) + 1 5x 2 1 h f x + h. = 10x + 5h g x + h h. ) g x( ) h h h 0 10x. ) h x( ) h x + h. ) 2 x + h + 1. )2 x + 1: 4. 33 d. We set = 0 and solve for x to get the dx critical points: x = 5, 5 . Only x = 5, is in [ 1 , 4 ] . So we evaluate: f 1( ) = 12, f 4( ) = 10. 5, f. So the absolute minimum value is f. 8. 944 . (it occurs at x = 5 ): slope = F 1( ) = 3x 2 + 2.