limit - Answer>>value approached but not necessarily reached. The value must approached the same thing from both sides.
Instantanious Rate of Change (IROC) - Answer>>f '(x), slope of tangent line
Continuity - Answer>>A function is continuous on an interval if it is continuous at every point of the interval. No "holes", No "jumps", and No Vertical asymptotes at x=a.
Intermediate Value Theorem - Answer>>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. A root exist in the interval [a,b], if f(a) and f(b) have opposite signs.
f '(x) - Answer>>derivative of f(x)
f "(x) - Answer>>second derivative of f(x)
Equation of a tangent line at x=a : - Answer>>use the point (a, f(a)) and the value of f '(a). y - f(a) = f '(a) (x - a)
Position Function - Answer>>s(t)
Tells you where the particle is located