Calculus Self-Assessment Quiz Form
Test your calculus knowledge and skills with this self-assessment quiz. Answer all questions to the best of your ability.
Evaluate the limit: ( lim_{x to 0} frac{sin x}{x} )
*
0
1
Does not exist
Infinity
Which of the following is the derivative of ( f(x) = e^{2x} )?
*
2e^{2x}
e^{2x}
2x e^{2x}
e^{x^2}
Select all functions that are continuous everywhere.
*
sin(x)
1/x
e^x
1
x
2
ln(x)
Find the integral: ( int_0^1 x^2 dx )
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1/3
1/2
1
2/3
Which of the following statements about the Mean Value Theorem is true?
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It applies to all functions on any interval.
It requires the function to be continuous and differentiable.
It only applies to even functions.
It is only valid for polynomials.
If ( f'(x) > 0 ) for all x in (a, b), then:
*
f is decreasing on (a, b)
f is increasing on (a, b)
f is constant on (a, b)
f has a maximum on (a, b)
For which values of x is the function ( f(x) = ln(x-1) ) defined?
*
x > 1
x \geq 1
x > 0
x \geq 0
Rate your confidence in solving calculus problems.
*
Not confident
1
2
3
4
Very confident
5
1 is Not confident, 5 is Very confident
Indicate your agreement with the following statements about your calculus skills.
*
Rows
Strongly Disagree
Disagree
Neutral
Agree
Strongly Agree
I understand the concept of limits.
3
4
5
6
7
I am comfortable with derivatives.
8
9
10
11
12
I can solve basic integrals.
13
14
15
16
17
Which of the following best describes the Fundamental Theorem of Calculus?
*
It connects differentiation and integration.
It defines the derivative of a product.
It provides a method for factoring polynomials.
It only applies to trigonometric functions.
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