MATH 1431 EMCF 4 Due before 11:59 pm Log into CASA and access the answer sheet by clicking on the EMCF tab. Check the due date from CASA. Choice F is \"None of the above\" on all questions. 1. Find the derivative of A. 0 B. 1/2 C. 2 D. -1/4 E. 4 f ( x) 2x 1 x2 1 at x 1 . 2. Let f ( x) x 2 x 5 x 2 . Find f '(1) ? 3. A. 21 B. 14 C. 10 D. 6 E. 19 Let f x g h x . Suppose g 3 6, g 2 1, g ' 2 4, h 3 2 and h ' 3 5. Find f ' 3 . A. -18 B. -10 C. 4 D. -6 E. 20 Page 1 of 3 4. Find the slope of the tangent line to the curve f x A. 5. C. 6 x 1 if f x x 1 4 B. D. 2 E. 4 12 D. 3 2 3 C. If f x x tan 5 x , find f ' . 4 A. B. 7. B. 2/3 Find f ' 3 A. 6. 1/4 5 4 1 2 5 C. 1 5 2 D. 1 5 2 E. 1 2 If f x cos 2 2 x , find f ' . 3 A. 3 B. 3 4 C. 1 D. -1 E. 3 x 3 1 at x=2. Page 2 of 3 3 E. -6 Find the slope of the tangent line to the curve x3 4 y 2 xy 16 at the point (2, 9). 8. A. -3 B. -9/5 C. -2/5 D. 11/15 E. 4/3 If x 2 y 2 y 2 1 , find the equation of the NORMAL line at the point (1,-1). 9. 3 1 x 2 2 3 5 y x 2 2 3 5 y x 2 2 3 1 y x 2 2 3 1 y x 2 2 A. y B. C. D. E. 10. d2y at the point (3, 4). If x y 25 , find the value of dx 2 2 2 A. 25/64 B. 17/64 C. -25/64 D. -9/64 E. -16/9 Page 3 of 3