Want to see correct answers?
Login or join for free!

Looking for Math worksheets?
Check out our pre-made Math worksheets!
 Tweet

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