MATH 220 Midterm: MATH 220 KSU Test 1f06

• School: Kansas State University
• Department: Mathematics
• Course: MATH 220
• Professor: All

Document Summary

You may use a calculator, but no books or notes. The point value of each problem is given in the left-hand margin. Use the rules for derivatives, except in problem 3. All limits should be computed algebraically. (10 pts. ) Find an equation of the tangent line to the curve y = 2x4 3x2 + 4 at the point where x = 1. (20 pts. ) 2x2 9x + 9 x2 4x + 3 (a) find lim x 3 f (x). Page 2 of 6 (b) find lim x 1+ f (x). (c) find lim x f (x). (d) give all the asymptotes of the graph of y = f (x). (9 pts. ) Use the de nition of the derivative as a limit to nd the derivative of f (x) = Let y = 2x3 3x2 x + 1. Explain why this function has (at least) three x-intercepts in the interval 1 x 2. (8 pts. )