1. If a is a simple constant, what is the derivative of y = x" A. (a - 1)x B. ax C. x D. axl-1 E. None 2. Find the derivative of y = 2(x] - 1)-1. -4x 4x A. B. (x2+1)2 (x2 - 1)2 -4x 4x C. (x2 - 1)2 D. (x2 + 1)2 E. None 3. What is the second derivative of y = vx? +x- 2 A, 1 - B. 3 C.1 - D.- E. None 4. Ify = (u' + 2)? and u = xi, determine " ix A. - B. 2(x+2) 2x- + 2x C. D.- 3 E. None5. Differentiate the equation:y = x+1 x* +2x A. "(x+ 1) B r+1 2x C. 2x D. x+1 E. None 6. Find the derivative with respect to x ify = v2 - 3x2 -2x- -3x A. B. V2 - 3x2 V2 - 3x2 -3x- 3x D. V2 -3x2 V2 - 3x2 E. None 7. Differentiate y = (x] + 2)i A. (x7 + 2)1 B. 2 (xz + 2)2 2x C. D. (x] + 2) (x]+ 2)i E. None 1 8. What is the derivative of y = 2vx - 2 x 1 1 Ax + B VX 4xyX C. 1 1 + 4x - 1 D. NVX 4x X E. None 1 9. If fO= x3 +1 and g(x) = vx , then the derivative of f(9 (x)) is -VX A.- (x3+ 1 ): B. - (x + 1) -2 C.- -2x 1 (x] +1)2 D. (x + 1)2 E. None10. Find the derivative using implicit differentiation of x - y= = 1. A. B. 3x2 C. - D. - E. None 11. Differentiate y = (x] -3). A. 16x(x* - 3)' B. -4x(x] - 3)" C. 2(x + 1)x= D. -16(x + 1) E. None x- 18-1 12. Find -ify = dix x2-x 2x- + 2x - 1 -2x- + 2x - 1 A. C. (x2 - x)2 2x* + 2x + 1 -2x - -2x - 1 B D. (x2 -x)2 (x2-x)2 E. None 13. Find y' ify = (x + 1)3(x3 + 3) A. (x + 2)? (5x3 + 2x + 3) C. (x+ 2)' (5x] + x+ 3) B. (x + 1)= (x] + 2x + 9) D. (x + 1)' (5x7 + 2x + 9) E. None 14. Find dy/dx if xity' = a'. A. B. -X C. D. E. None E. None15. Find dy/dx if x3 - 3xy + y' = 10 A. B. V- - X C. D. - X X-V E. None 16. Find the second derivative of the implicit function x ty? = a. , 2 A. - B. -1 C. - D. E. None 17. Find = _ in simplest form if y = x - 3x- - 2x + 5. A. 60x] B. 120x C. 20x3 - 6 D.x E. None 18. Differentiate y = 3xi - 4x: - 2 A. 2x3 - 2x2 C. 3x 3 - 2x2 B. x3 - 2xi - D. 2x 3 - 2x 2 E. None 19. Find = ifx +4y' = 1, 1 1 A. - 813 B. 813 1 1 C. - D. E. None 20. Find - Y if x' - 4x = 2y - 2. A. 1 B.0 C.-1 D. -2 E. None