Calculus test
Created on 13th August 2024
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15 Questions
Calculus test for college students studying math degrees with hard questions!!
Questions (15)
1. What is the derivative of f(x) = 3x^2?
6x
4 choice options
2. Find the limit of (x^2 - 4) / (x - 2) as x approaches 2.
4
4 choice options
3. Which of the following is the antiderivative of e^x?
e^x
4 choice options
4. What is the integral of 2x^3?
(1/2)x^4
4 choice options
5. The area under the curve of a continuous function is represented by which mathematical concept?
Integral
4 choice options
6. What is the limit of sin(x) / x as x approaches 0?
1
4 choice options
7. Which of the following is the power rule for differentiation?
d/dx (x^n) = n*x^(n-1)
4 choice options
8. What is the derivative of ln(x)?
1/x
4 choice options
9. What is the integral of 4x?
2x^2
4 choice options
10. The chain rule is used to differentiate which type of functions?
Composite functions
4 choice options
11. What is the derivative of cos(x)?
-sin(x)
4 choice options
12. Which theorem relates differentiation and integration?
Fundamental Theorem of Calculus
4 choice options
13. What is the integral of e^x?
e^x
4 choice options
14. Which rule is used to find the derivative of a constant?
Constant Rule
4 choice options
15. What is the limit of (1 - cos(x)) / x as x approaches 0?
0
4 choice options