f(x)=_6x 1. Determine the end behavior of the graph of Vx2 _ 4 O lim f(x)= -6 O lim f(x) =-2 O lim f(x) = -6 O lim f(x) =-2 2. Let ((x) = 2in( x 3) and / be the inverse of f. Find /(0). A. 1/6 B. O C. 1 D. 1/2 3. " What is f'(3)d A. 1/3 B. 2/3 C. 3/2 D.4 4. Let f' represent the derivative of f. If f' = x 3ex + 3x*2ex, determine on what interval(s) fis increasing. A. (-3,00) B. (-oo,-3) C. (0,90) D. (-3,0) and (0,00) 5. Let f'(x) = -4x*3 - 12x*2. Where do the extrema of foccur? A. 0 only B. -3 only C. -3 and 0 D. -2 and -3 6. What is the rate of change of the area of a sphere, A = 42, with respect to the radius, when = 5 inches? A. 5rt in* 2/in B. 20rt in*2/in C. 40It in^2/in D. 100it in^2/in 7. Let fbe the function given by ((x) = Inx 2 + x 3. What is the value of f'(3)? A. 0.917 B. 3 C. 27.667 D. 29.197 8. If g(x) = 1(2x^5), then g(x) is equal to which of the following? A. f'(2x15) B. 10x 4 C. f'(10x 4) D. f'(2x5)(10x4) do 9. Assume that the diameter o of a circle is a differentiable function of , and let C be the circumference of the circle. Find an equation that relates dt and of . de = nd A. C= nd B. dt " dt D. d 10. What is the derivative of y = cos-13x4 with respect to x? ax 1-9x B. 9% =__12x" 2x+1 FX