NAME

### Question limit

of 75 available terms

### 5 Matching questions

1. Intermediate Value Theorem
2. Fundamental Theorem of Calculus #1
3. ln(cscx+cotx)+C = -ln(cscx-cotx)+C
4. Square root function
5. First Derivative Test for local extrema
1. a
2. b If f is continuous on [a,b] and k is a number between f(a) and f(b), then there exists at least one number c such that f(c)=k
3. c
D: (0,+∞)
R: (0,+∞)
4. d
The definite integral of a rate of change is the total change in the original function.
5. e

### 5 Multiple choice questions

1. D: (-∞,+∞)
R: [0,+∞)

2. This is a graph of f'(x). Since f'(C) exists, differentiability implies continuouity, so Yes.
Yes f' decreases on X<C so f''<0
f' increases on X>C so f''>0
A point of inflection happens on a sign change at f''

### 5 True/False questions

1. Fundamental Theorem of Calculus #2

2. ln(sinx)+C = -ln(cscx)+C

3. Critical NumberIf f'(c)=0 or does not exist, and c is in the domain of f, then c is a critical number. (Derivative is 0 or undefined)

4. f is continuous at x=c if...
D: (-∞,+∞)
R: (-∞,+∞)

5. Mean Value Theorem
The instantaneous rate of change will equal the mean rate of change somewhere in the interval. Or, the tangent line will be parallel to the secant line.