calculus

Exercises 1. Set f(x) = V3x - 2cos(x). a. Find all critical value(s) of f on the interval [0, 2x]. Show all your work and give exact values, no decimal. b. What is the minimum value of f? Show all your work and give exact value, no decimal. c. What is the maximum value of f? Show all your work and give exact value, no decimal. d. Graph f(x) = V3x - 2 cos(x) to confirm your answers. _ Hint 2. a. Use the trigonometric identity sin?(x) + cos (z) = 1 to show that sin'(x) - sin' (x) = sin (x) cos (z) and cos' (z) - cos(x) = cos (z) sin? (x). b. Use Theorem 3.2.11 to show that * sin (2 ) - { sin '( z ) = -1005 (2) + 2005" (2) + 12 for any real number c. _ Hint