
Calculus Derivatives Quiz
Authored by Cường Vũ
Mathematics
University
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62 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The derivative of a function at a point represents:
The slope of the secant line at that point.
The slope of the tangent line at that point.
The area under the curve up to that point.
The y-intercept of the function.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The derivative of f(x) at point 'a', denoted f'(a), is defined as:
lim (h→0) [f(a) - f(a+h)]/h
lim (h→0) [f(a+h) - f(a)]/h
f(a+h) - f(a)
f(a) - f(a+h)
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If a function is differentiable at a point, it is also:
Continuous at that point
Discontinuous at that point
Undefined at that point
Has a vertical asymptote at that point
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A function can fail to be differentiable at a point if:
It is continuous at that point.
It has a sharp corner or cusp.
The limit exists at that point.
It has a smooth curve at that point.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The second derivative of a function represents:
The slope of the tangent line.
The rate of change of the first derivative.
The area under the curve.
The y-intercept.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the derivative of f(x) = 5x³ - 2x + 7?
15x² - 2
15x² + 2
5x² - 2x + 7
15x - 2
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the derivative of f(x) = sin(x)?
cos(x)
-cos(x)
-sin(x)
sin(x)
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