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

Grade 12 College

Browse Questions

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 1 of 12 Next
College Integrals
Find the following indefinite integral.
[math]int(8x^8 -6) dx[/math]
  1. [math]8/9x^9+C[/math]
  2. [math]64x^7+C[/math]
  3. [math]8/9x^9-6x+C[/math]
  4. [math]8/9x^9-6+C[/math]
Grade 12 Derivatives
Differentiate. [math]f(x) = 3x^5 - 2x^2 - 7x^(-3) + 9x^(-4)[/math]
  1. [math]f(x) = 15x^4 - 4x - 21x^(-2) + 36x^(-3)[/math]
  2. [math]f(x) = 15x^4 - 4x + 21x^(-4) - 36x^(-5)[/math]
  3. [math]f(x) = 15x^4 - 4x + 21x^(2) - 36x^(5)[/math]
  4. [math]f(x) = 15x^4 - 4x - 21x^(-4) + 36x^(-5)[/math]
College Integrals
Find the following indefinite integral.
[math]int(-3/x+2x^(-1/4) - 8e^x) dx[/math]
  1. [math]-ln(|x|) -8/3x^(3/4)-8e^x +C[/math]
  2. [math]-1/3ln(|x|) + 8/3x^(3/4) - 8e^x+C[/math]
  3. [math]-3 ln(|x|) + 8/3x^(3/4)-8e^x +C[/math]
  4. [math]-3 ln(|x|) + 8/3x^(3/4) - 8/xe^x+C[/math]
Grade 12 Derivatives
What is the derivative of [math]f(x) = 3x^2 - x + 8 ?[/math]
  1. [math]f'(x)=6x-1[/math]
  2. [math]f'(x)=6x+8[/math]
  3. [math]f'(x) = 3x[/math]
  4. [math]f'(x)=9x+7[/math]
Grade 12 Derivatives
What is the derivative of [math]f(x)=23pi ?[/math]
  1. [math]f'(x) = 23pi[/math]
  2. [math]f'(x) = pi[/math]
  3. [math]f'(x) = 0[/math]
  4. [math] f'(x) = 23[/math]
Grade 12 Derivatives
What is the derivative of [math]f(x) = 2sqrt(x^7) - 5root[4](x^3) + 9root[3](x^2) - 6/root[6](x^5)?[/math]
  1. [math]f'(x) = x^3 - 5/2 sqrt(x) + 9/2root[6](x) + 3/root[3](x^4)[/math]
  2. [math]f'(x) = 7sqrt(x^5) - 20/(3root[4](x)) + 3/(2root[3](x)) - 5/root[6](x^11)[/math]
  3. [math]f'(x) = 7sqrt(x^5) - 15/(4root[4](x)) + 6/root[3](x) + 5/root[6](x^11)[/math]
  4. [math]f'(x) = 14x^3 - 15sqrt(x)+ 18root[3](x) + 30/root[3](x^2)[/math]
Grade 12 Integrals
Find the value of the integral [math]int_0^1e^x/(e^x+1)dx[/math].
  1. [math]ln((e+1)/2) [/math]
  2. [math](e-1)/2 [/math]
  3. [math]ln(e-1) [/math]
  4. [math]e+1 [/math]
Grade 12 Integrals
Find the value of the integral [math]int_1^e1/xdx[/math].
  1. [math]-1[/math]
  2. [math]e[/math]
  3. [math]1/2[/math]
  4. [math]1[/math]
Grade 12 Limits
Evaluate the limit. [math]lim_{x->5} (x^2 - 2x - 15)/(x^2 - 25) [/math]
  1. [math]0[/math]
  2. [math]4/5[/math]
  3. [math]1[/math]
  4. [math]1/2[/math]
Grade 12 Derivatives
What is the derivative of [math]f(x)=3x^4 ?[/math]
  1. [math]f'(x)=3x^3[/math]
  2. [math]f'(x)=12x[/math]
  3. [math]f'(x)=12x^3[/math]
  4. [math]f'(x)=4x[/math]
Grade 12 Integrals
Find the value of the integral [math]int_1^2(x^2+1)/xdx[/math].
  1. [math]1/2ln2[/math]
  2. [math]1+ln2[/math]
  3. [math]3/2+ln2[/math]
  4. [math]3/2-ln2[/math]
Grade 12 Derivatives
Find the derivative. [math]f(x) = 4sqrt(x)+3[/math]
  1. [math]f'(x) = 4/sqrt(x)[/math]
  2. [math]f'(x) = 4/sqrt(x) + 1/3[/math]
  3. [math]f'(x) = 2[/math]
  4. [math]f'(x) = 2/sqrt(x)[/math]
Grade 12 Integrals
Find the value of the integral [math]int_(-e^2)^(-e)3/xdx[/math].
  1. [math]-3[/math]
  2. [math]-e[/math]
  3. [math]e^3[/math]
  4. [math]1/3[/math]
Grade 12 Derivatives
On what intervals is the function [math]f(x)=3x^3+2x^2[/math] concave upwards and downwards?
  1. concave upward [math](-2/9, oo)[/math], concave downward [math](-oo, -2/9)[/math]
  2. concave upward [math](-oo, -2/9)[/math], concave downward [math](-2/9, oo)[/math]
  3. concave upward [math](0, oo)[/math], concave downward [math](-oo, 0)[/math]
  4. concave upward [math](-oo, 0)[/math], concave downward [math](0, oo)[/math]
Grade 12 Derivatives
Find the derivative. [math]f(x)=99x[/math]
  1. [math]f'(x) = 99[/math]
  2. [math]f'(x) = x[/math]
  3. [math]f'(x) = 99x[/math]
  4. [math]f'(x) = 100[/math]
Grade 12 Derivatives
Differentiate. [math]f(x)=2x^6[/math]
  1. [math]f'(x) = 6[/math]
  2. [math]f'(x) = 6x^5[/math]
  3. [math]f'(x) = 12x^5[/math]
  4. [math]f'(x) = 12[/math]
Grade 12 Derivatives
Calculate the derivative. [math]f(x)=8x^2-5x+3[/math]
  1. [math]f'(x) = 8x[/math]
  2. [math]f'(x) = 16x-5x[/math]
  3. [math]f'(x) = 2x-5[/math]
  4. [math]f'(x) = 16x-5[/math]
Grade 12 Derivatives
Find the derivative. [math]f(x) = 4x^3 - 3sqrt(x^3) + sqrt(x)[/math]
  1. [math]f'(x) = 12x^2 - 9/2 sqrt(x) + 1/(2sqrt(x))[/math]
  2. [math]f'(x) = 12x^2 + 2/(sqrt(x))[/math]
  3. [math]f'(x) = 4x^2 - 9sqrt(x) + 1[/math]
  4. [math]f'(x) = 64x^2 + 9sqrt(x) - 1/sqrt(x)[/math]
Previous Page 1 of 12 Next
You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.