5 Written Questions
5 Matching Questions
- Antiderivative of f(x) from [a,b]
- Inverse Secant Antiderivative
- Rolle's Theorem
- a Let f be continuous on [a,b] and differentiable on (a,b) and if f(a)=f(b) then there is at least one number c on (a,b) such that f'(c)=0 (If the slope of the secant is 0, the derivative must = 0 somewhere in the interval).
5 Multiple Choice Questions
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
Alternative Definition of a Derivative →
f is continuous at x=c if... →
Identity function →