Preview File Edit View Go Tools Window Help Q 8. Mon Apr 17 3:38 PM 1602941760-salas-hil... Page 197 of 1, 171 Q 4.3 LO EXERCISES 4.3 Exercises 1-28. Find the critical points and the local extreme 31. Let f and g be the di values. shown below. The point 1. f(x) = x3 + 3x - 2. 2. f(x) = 2x4 - 4x2 +6. where the vertical separa est. Show that the line to 3. f ( x) = x+-. 4. f (x ) = x2 - - 3 parallel to the line tango 5. f (x ) = x2(1 -x). 6. f(x) = (1 -x)2(1 +x). 7. f (x ) = 1 1 + x 8. f (x ) = 2 - 3x 1 - x 2+ x 9. f (x ) = - 2 x (x + 1 ) 10. f(x) = 1x2 -161. 11. f(x) = x3(1 -x)2. 12 . f ( x ) = ( * - 2 ) 13. f(x) = (1 - 2x)(x - 1)3. 14. f(x) = (1 - x)(1 +x)3. x 2 15. f(x) = 1 + x 16. f(x) = x8/1 -x. 17. f(x ) = x2 8/2 + x. 18. f(x) = - 1 x+1 x-2 32. Prove the validity of the 19. f(x) = |x - 31+12x +11. 20. f(x) =x1/3-7x1/3. that f"(c) 0. 24. f (x) = x + cos2x, 0