Tuesday, January 28th Groups of 3 sorting Review answers revisions “Learn, Leave, or be Beaten.” Winchester School of England Groups of 3 sorting Review answers revisions Work time
Things having to do with the first derivative Critical points Slope velocity
Things having to do with the 2nd derivative Concavity Points of inflection Acceleration
How to evaluate a limit Direct substitution Test numbers very close on both sides Use the graph
Methods of differentiation Chain Rule Product rule Quotient rule
Notation for derivative y’ dy/dx f ‘(x)
Types of discontinuities jump removable non-removable
Conditions of Rolle’s Theorem f is continuous f is differentiable f(a) = f(b)
Things to check for absolute extrema Points where the derivative is undefined Points where the derivative is 0 Endpoints
Theorems I need to memorize Rolle’s Theorem Intermediate Value Theorem Mean Value Theorem
All mean the same thing Function is increasing Tangent line has a positive slope f ‘ is positive