1. Find y if 8 vxy + 6x = 3y A. 4y +6,xy +4x 3 xy B. 3 xy - 4y 4x 4x - 3 xy 6 xy + 4y D. 4y +6 xy 3xy - 4x 2. Find y ' if 4 cos x sin y = 1. A. y ' = -4 sin x cos y B. y ' = tan x tan y sin x C. y' = COS y 4sin x D. y = COS y _ 3. Find the second derivative of the function /(x) = 3x2 +5x - 4 X A. 1" ( x) = - 73 B. 1"(x) = 3 C. 1" ( x) = _8+x x3 D. 1" ( X) = 734. Find wig in terms of x and y given that *2 + y? = 36. Be sure to use the original equation to simplify your answer. A dy _36 adrz- B. dy + +y C. dy D. dy +y 5. Find the slope of the line tangent to the graph of the function f(x) = x2- 10 at the point (3, -1). A. 3 B. -1 C. -6 D. 6 E. 10 6. Find the derivative of the function /(x) = 3x3 - 9x2 - 8 A. !'(x) - -9x2 + 18x B. "'(x) = 6x2 - 18x C. "'(x) - 6x2 +18x D. "'(x) - 9x2 - 18x 7 . A point moving along the graph of the function ) = sin 6 * such that of = 2 centimeters per second. Find or when * - 7. - 6 005 7 5% = 12 005 7 C. -6 005-7 D. - - 12 COST8. The equation of a circle centered at (0, 0) with a radius of 2 is x2 + 12 = 22. What is the slope of the tangent to the circle at the point (1, v3) ? A. -1 B. _ V3 3 C. _V2 2 D. -V3 9. Find the derivative of f (x) = -5x3 - 2 sin x. A. f '(x) =-15x2 + 2 cos x B. f '(x) = -5x - 2 cos x C. f '( x) = -5x2 + 2 cos x D. f (x) = -15x2 - 2 cos x 10. Find the derivative of g(x) = x6 +5x3 A. 9'(x) = 6x5 +3x2 B. g'(x) = x5 +5x2 C. 9'(x) = 6x5 +15x2 D. 9'(x) =6x7+15x4