Calculus Advanced Quiz 2
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Advanced Quiz 2
1. What is the process of changing the variable in an integral to simplify it called?
u-substitution
Chain Rule
Product Rule
2. What is the term for the highest or lowest point on a curve?
Extremum
Inflection point
Critical point
3. What do we call a function that is always increasing or always decreasing?
Monotonic function
Continuous function
Periodic function
4. What is the term for the rate at which the rate of change itself changes?
Second derivative
First derivative
Integral
5. What is the term for the area between a curve and the x-axis over a given interval?
Definite integral
Derivative
Limit
6. What is the term for a function that is not interrupted or broken?
Continuous function
Discrete function
Piecewise function
7. What is the Fundamental Theorem of Calculus about?
It connects differentiation and integration
It defines the product rule
It defines the chain rule
8. What is the process of finding the slope of a curve at a point called?
Differentiation
Integration
Multiplication
9. What is the process of finding the area under a curve called?
Integration
Differentiation
Addition
10. What is the term for the sum of the areas of rectangles under a curve as the width approaches zero?
Riemann sum
Derivative
Product Rule
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