Want to see correct answers?
Login or join for free!
  Math Worksheets
Looking for Math worksheets?
Check out our pre-made Math worksheets!
Share/Like This Page
Filter By Grade

Calculus Questions - All Grades

You can create printable tests and worksheets from these Calculus questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Page 2 of 12 Next
Grade 12 Limits
Evaluate the limit. [math]lim_{x->9} (x-9)/(sqrt(x)-3)[/math]
  1. Indeterminate
  2. [math]0[/math]
  3. [math]3[/math]
  4. [math]6[/math]
Grade 12 Derivatives
Find the derivative. [math] f(x) = root[5](x^7) [/math]
  1. [math] f'(x) = root[5](7x^6) [/math]
  2. [math] f'(x) = 7/5 root[5](x^2) [/math]
  3. [math] f'(x) = root[4](x^6) [/math]
  4. [math] f'(x) = root[5](x^2) [/math]
Grade 12 Limits
Grade 12 Limits
Describe the end behavior of [math]f(x)=2^x-3[/math].
  1. [math]"As " x -> -oo, y-> -3; \ "as " x->oo, y->oo[/math]
  2. [math]"As " x -> -oo, y-> oo; \ "as " x->oo, y->oo[/math]
  3. [math]"As " x -> -3 , y-> oo; \ "as " x->oo, y->oo[/math]
  4. [math]"As " x -> -oo, y-> oo; \ "as " x->oo, y->-3[/math]
Grade 12 Limits
What is the limit of [math]f(x)=3x^3+2x^2[/math] as [math]x[/math] approaches 5?
  1. [math]lim_(x->5)f(x)=425[/math]
  2. [math]lim_(x->5)f(x)=452[/math]
  3. [math]lim_(x->5)f(x)=542[/math]
  4. [math]lim_(x->5)f(x)=245[/math]
Grade 12 Derivatives
What is the derivative of [math]f(x)=3x^3+2x^2[/math]?
  1. [math]f'(x)=9x^2+4x[/math]
  2. [math]f'(x)=3x^2+2x[/math]
  3. [math]f'(x)=0[/math]
  4. [math]f'(x)=12x^2+6x[/math]
Grade 12 Derivatives
Differentiate. [math]f(x) = (4x^100)/25[/math]
  1. [math] f'(x) = (4x^99)/25[/math]
  2. [math] f'(x) = (8x^10) / 5 [/math]
  3. [math] f'(x) = x^99 / 625 [/math]
  4. [math] f'(x) = 16x^99[/math]
Grade 12 Derivatives
On [math]f(x)=2x^5+x^3-3x[/math]
  1. [math](-0.65,1.4)[/math] is a relative and absolute maximum.
  2. [math](0.65,-1.4)[/math] is a relative and absolute minimum.
  3. [math](-0.65,1.4)[/math] is a relative maximum.
  4. [math](0.65,-1.4)[/math] is a relative minimum.
  5. Both A and B.
  6. Both C and D.
  7. None of the above.
Grade 12 Derivatives
Find the derivative. [math] f(x) = 2x^0.4 - 8x^(-0.02) [/math]
  1. [math] f'(x) = 2x^(-0.4) - 8x^(-1.02) [/math]
  2. [math] f'(x) = 0.8x^(-0.6) + 0.16x^(-1.02) [/math]
  3. [math] f'(x) = 2 + 0.16x^(-1.02) [/math]
  4. [math] f'(x) = 0.5x^(-0.6) + 0.4 x^(-1.02) [/math]
Grade 12 Derivatives
On what intervals is the function [math]f(x)=3x^3+2x^2[/math] increasing or decreasing?
  1. Increasing: [math](-oo,-4/9) uu (0, oo)[/math], decreasing: [math](-4/9, 0)[/math]
  2. Increasing: [math](-oo,-4/9)[/math], decreasing: [math](-4/9, 0)[/math]
  3. Increasing: [math](-oo,0) uu (-4/9, oo)[/math], decreasing: [math](-4/9, 0)[/math]
  4. Increasing: [math](-4/9, 0)[/math], decreasing: [math](-oo,-4/9) uu (0, oo)[/math]
Grade 12 Limits
Evaluate the limit. [math]lim_{x->0} ((x-5)^2-25)/x[/math]
  1. Does not Exist
  2. [math]-10[/math]
  3. [math]oo[/math]
  4. [math]0[/math]
Grade 12 Derivatives
What are all the values of [math]x[/math] for which the function [math]f[/math] defined by [math]f(x)=x^3+3x^2-9x+7[/math] is increasing?
  1. [math]-3< x<1[/math]
  2. [math]-1< x< 1[/math]
  3. [math]x<-3[/math] and [math]x>1[/math]
  4. [math]x<-1[/math] and [math]x>3[/math]
  5. All real numbers
Grade 12 Derivatives
Find the intervals of increase and decrease for the following function. [math] f(x) = sqrt(3x^2 - 9x + 6)[/math]
  1. Increasing on [math](3/2,oo)[/math] and decreasing on [math](-oo, 3/2)[/math]
  2. Increasing on [math](2,oo)[/math] and decreasing on [math](-oo,1)[/math]
  3. Increasing on [math](3/2,oo)[/math]
  4. Increasing on [math](2,oo)[/math]
Grade 12 Derivatives
Identify the intervals on which the given function is increasing and decreasing.
[math]f(x)=x^2 e^(-x^2)[/math]
  1. Increasing: [math](-oo, -1) uu (0,1)[/math]; decreasing: [math](-1, 0) uu (1,oo)[/math]
  2. Increasing: [math](-oo, 0)[/math]; decreasing: [math](0, oo)[/math]
  3. Increasing for all x
  4. Increasing: [math](-1,0) uu (1,oo)[/math]; decreasing: [math](-oo, -1) uu (0,1)[/math]
Previous Page 2 of 12 Next
You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.