MATH 220 Midterm: MATH 220 KSU Test 1f01

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

Document Summary

You may use a calculator, but do not use books or notes. The point value of each problem is given in the left-hand margin. Use the rules for derivatives, except in problem 4. All limits should be computed algebraically. (5) 1. For what values of x is the function f (x) = r 2+x x 1 de ned? (5) 2. Give the equations of all vertical asymptotes for the graph of the function f (x) = x+1 (x2+1)(x2 4) . (15) 3. Evaluate the following limits (algebraically): limx 3 x2+x 12 x2 7x+12 , lim 0 sin(3 ) Use the de nition of the derivative as a limit to compute the derivative of f (x) = x2 3x . page 2 of 4 (24) 5. 1 x + x5/3) : d dx(2x 1)7(3 x2) , f (t) where f (t) = q(t2 + 1)3 5 , dy dx , where y = 1 x2.