by alex
Calculus, the mathematical study of continuous change, is a cornerstone of modern science and engineering. This quiz will test your grasp of its core principles, from the basics of limits to the intricacies of integrals. Sharpen your pencils and your minds—let’s see how well you know calculus!
Calculus Quiz Questions Overview
1. What is the derivative of f(x) = x^2?
2x
x
2x^2
1
2. What is the integral of f(x) = 3x^2?
x^3 + C
x^3
3x + C
3x^3 + C
3. What is the limit of f(x) = (x^2 – 1)/(x – 1) as x approaches 1?
1
0
2
Does not exist
4. What is the second derivative of f(x) = x^3?
6x
3x^2
x^2
6
5. Which of the following is the Fundamental Theorem of Calculus?
The derivative of a function is the slope of the tangent line.
The integral of a function over an interval is the area under the curve.
The derivative and the integral are inverse operations.
The limit of a function as x approaches a value.
6. What is the derivative of f(x) = e^x?
e^x
x
e
1
7. What is the integral of f(x) = 1/x?
ln|x| + C
x
1/x + C
ln(x) + C
8. What is the limit of f(x) = sin(x)/x as x approaches 0?
0
1
Infinity
Does not exist
9. What is the derivative of f(x) = ln(x)?
1/x
ln(x)
x
1
10. What is the integral of f(x) = cos(x)?
sin(x) + C
cos(x) + C
tan(x) + C
sec(x) + C
