MATH 1431 EMCF 3 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. If f x x 2 x 1 which of the following will calculate the derivative of f (x)? x lim A. x 1 h x2 x 1 x lim B. h h0 C. 2. 2 2 x 1 h x2 x 1 D. h x 0 x h lim 2 x 0 h h 0 x h lim x h 1 x 2 x 1 2 x h 1 x 2 x 1 h If f (1) 2 and f '(1) 5 , what is the equation of the line that is tangent to f(x) at x=1? A. B. C. D. E. y 5x 2 y 2x 5 y 5x 3 y 5x 4 y 5x 7 3. Let y x 2 x 2 . What is the instantaneous rate of change of y with respect to x at x=3? A. 10 B. 8 C. 7 D. 6 E. 5 4. Find the slope of the tangent line to the graph of f ( x) 5 x x 2 at x 2 . A. 6 B. 4 C. 3 D. 2 E. 1 Page 1 of 3 5. A. B. C. D. E. Find the equation of the normal line to the graph of f ( x) x3 x 2 at x 1 . y 5 x 7 y 5x 3 5y x 9 5 y x 11 y 5 x 11 6. Let f ( x) A. 7. 8. x3 x 1 . Find f '(1) ? x 0 B. 1 C. 2 D. 3 If f x 2 cos x 4 sin x , find f ' . 6 A. 3 2 B. 1 2 3 C. 12 3 D. 1 2 3 E. 3 3 3 If f x tan x sec x , find f ' . 4 A. 22 2 B. 2 2 C. 2 2 D. 2 2 E. 2 2 2 Page 2 of 3 E. 4 9. Evaluate A. B. C. D. E. d 2 t 4sin t when t 0 . dt 0 4 -4 2 6 10. Evaluate d 32 3x 2 x 2 x 4 dx x A. 5/2 B. 9/2 C. 7/2 D. 13/2 E. 13/4 Page 3 of 3