Have an account?
Skip to Content
Build your own quiz
50 questions
Show Answers
See Preview
- 1. Multiple ChoiceFind the derivative of f(x) = 5x2 + 7x - 3.2x + 710x + 710x + 42x + 4
- 2. Multiple Choice
4x9 + 6x7(2/5)x9 + (3/4)x720x9 + 24x7x9 + x7 - 3. Multiple ChoiceDifferentiate y = -19-19019Not differentiable
- 4. Multiple ChoiceDifferetiate y = -19x-19019Not differentiable
- 5. Multiple Choice(1/2)x-7(1/2)x-9-32x-9-32x-7
- 6. Multiple ChoiceFind the derivative:
y = (4x - 5)(2x + 3)88x16x16x + 2 - 7. Multiple ChoiceWhat is the derivative of sin(x)?sin(x)cos(x)-sin(x)-cos(x)
- 8. Multiple ChoiceFind f '(2) if
f(x) = x2 + 2x2x + 26122x - 9. Multiple ChoiceFind the derivative of the given function
f(x) = x4 + 4x3 - 2x2x3 + x2 - x4x3 + 12x2 + 4x4x + 12x - 4x4x3 + 12x2 - 4x - 10. Multiple ChoiceFind dy/dx for
y = (x2 + 1)3dy/dx = 3(x2 + 1)2dy/dx = 3(2x)2dy/dx = 3(x2 + 1)2(2x)dy/dx = 2x(x2 + 1)2 - 11. Multiple Choiced/dx (sin2x) = ?2sin x2(sin x)(cos x)2cos x2x(cos x)
- 12. Multiple ChoiceFind the derivative of f(x)=(x3-2x)26x5 - 12x3+8x6x5 - 16x3+8xx6-4x4+4x26x5 - 16x3-8x
- 13. Multiple ChoiceFind the derivative of g(x)=(3x-2)/(x2+2)9x2+23(x2+2)/(x2+2)2(-3x2+4x +6)/(x2+2)2(-3x2+10)/(x2+2)2
- 14. Multiple Choice
- 15. Multiple Choice
- 16. Multiple ChoiceWhat is the limit?5/2-2/3Infinity17/3
- 17. Multiple Choicef' is given, which could be f?ABC
- 18. Multiple ChoiceWhere is the graph neither continuous nor differentiable?x = -1, 0, 1, 2x = -1, 1x = -1, 0, 1x = -1, 0, 2
- 19. Multiple ChoiceAt which x-value is f continuous but not differentiable?abcd
- 20. Multiple ChoiceFind the derivative of the given equation
f(x) = 1/x21/2x-2x2x-2x-3 - 21. Multiple ChoiceFInd the derivative:
f(x) = (-2/3)x3 - (1/2)x2 + 9x-2x2 - x + 9-2x2 + x + 92x2 - x + 92x2 - x - 9 - 22. Multiple ChoiceFind the second derivative of the function:
f (x) = 2x - 5x6f ''(x)= 2 - 30xf ''(x) = 2-30x5f ''(x) = -30x5f ''(x) = -150x4 - 23. Multiple ChoiceThe population of a town x years after 2000 is modeled by P(x). What is the best interpretation of P'(10) = 50.In 2010, the population was increasing 50 people per year.In 2010, the population was 50 people.It took 10 years for the population to increase by 50 people.The average change in population over the 10 years was 50 people per year.
- 24. Multiple ChoiceFind the slope of f(x) = -3x2-6x at x = 1.m = 0f'(x) = -6x - 6f'(x) = 6xm = -12
- 25. Multiple ChoiceSet up the derivative of the equation((x-3)-(x+2))/(x-3)2((x+2)-(x-3)/(x-3)2((x-3)-(x+2))/(x+2)2((x+2)-(x-3)/(x+2)2
- 26. Multiple ChoiceSet up the derivative of y=(3x4 - 7)*(5x2 + 1)(12x3)*(10x)(3x4 - 7)*(10x) + (12x3)*(5x2 + 1)(3x4 - 7)*(10x) - (12x3)*(5x2 + 1)(3x4 - 7)/(10x) + (12x3)/(5x2 + 1)
- 27. Multiple ChoiceDifferentiate y= 12x-224x-1-24x-3-24x-16x-3
- 28. Multiple ChoiceWhat is the derivative of g(x) = 4x31212x243
- 29. Multiple ChoiceFind the derivative of the given equation
f(x) = x3 + x2 + 33x2 + 2x3x + 2x3x + 2x + 3x3 + x2 - 30. Multiple ChoiceWhat is the derivative of xn?(n-1)xnnxn+1(n+1)xn-1nxn-1
- 31. Multiple ChoiceFind the derivative of the given equation
f(x) = 1/x21/2x-2x2x-2x-3 - 32. Multiple ChoiceDifferentiate f(x) =(2/ x5) - 5.x5-3-10x6x5-5-10x-6
- 33. Multiple ChoiceFind the derivative of:
sin(cos(2x-5))-2(sin2(2x-5))-2cos(cos(2x-5))(sin(2x-5))-(cos(2x-5))(sin(2x-5)2sinxcos(2x-5) - 34. Multiple ChoiceWhat is f'(x) if f(x) = cos(5x4)?f'(x) = sin(20x3)f'(x) = 20x3 sin(5x4)f'(x) = -sin(20x3)f'(x) = -20x3 sin(5x4)
- 35. Multiple ChoiceDerive y=e3xe3x3e3x3x3xe3x
- 36. Multiple ChoiceFind dy/dx by Implicit Differentiation
x3 +y3 = 366 -x3x2 +3y2−x2/y20 - 37. Multiple ChoiceFind dy/dx by Implicit Differentiation
xy = 6-x/ y-y/ x-6y/ xy/x - 38. Multiple ChoiceFind dy/dx
xy+y2=2-y/(x+2y)y/(x+2y)-3y/x-3x/y - 39. Multiple ChoiceFind the second derivative of f(x) = x2 + ex - cosxf"(x) = 2 + ex + cosxf"(x) = 2x + ex + cosxf"(x) = 2x + xex - cosxf"(x) = 2x + ex + sinx
- 40. Multiple ChoiceFind the derivative:
y=5x2e3xy'=10xe3x(2x+3)y'=5xe3x(3x+2)y'=10ex3x(3x+2)y'=5xe3x(2x+3) - 41. Multiple ChoiceFind dy/dx by Implicit Differentiation
x + 4y = 1-1/4-141 - 42. Multiple Choice
The function shown contains:
Only one local maximum.
Two local maximums.
Two local minimums.
Three local maximums
- 43. Multiple Choice
When is this function increasing?
-3<x<3
-2.5<x<2.5
x>2.5
x>3
- 44. Multiple ChoiceIdentify the critical points of the following function:
g(x)=2x3-3x2x=-1,1x=0,0x=0,-1x=0,1 - 45. Multiple ChoiceFind the critical points of f(x) = 2x4- 4x2 + 1x= 0x = -1, 1x = -1, 0, 1no critical points
- 46. Multiple Choice
Identify the interval(s) of decrease.
- 47. Multiple ChoiceHow many relative maximums does this function have?1234
- 48. Multiple ChoiceHow many relative minimums does this function have?1234
- 49. Multiple Choice
Identify the interval(s) of increase.
- 50. Multiple ChoiceFind the limit of the function as x approaches 2.1-15DNE
- Answer choicesTagsAnswer choicesTags