MATH 205 Midterm: MATH 205 KSU Test 3u04

• School: Kansas State University
• Department: Mathematics
• Course: MATH 205
• Professor: All

Document Summary

Correct answers without correct work will receive no credit. (15) 1. Given that f (x) = x4 4x3 + 10 , (a) use the rst derivative to nd all critical points. (b) identify each critical point as a local maximum, a local minimum, or neither. (15) 2. Given that f (x) = 3x5 5x3 , use the second derivative to nd all in ection points. (15) 3. Let f (x) = x10 10x and 0 x 3 , nd the value(s) of x for which f (x) has a global maximum or a global minimum. Indicate which ones are maxima and which are minima. page 2 (10) 4. The following gives a table of values for a positive function z = f (x, y) . page 3 x = 0 x = 10 x = 20 x = 30 y=0 y=2 y=4 y=6 y=8.