Limits
Type of discontinuity represented by a hole in the graph.
What is a removable discontinuity?
The derivative of a constant function.
The geometric meaning of the integral.
What is the area under the curve?
What is a positive first derivative?
Values for which the first derivative is zero.
What are critical points?
The three conditions for continuity at a point.
What are the left-hand limit, right-hand limit, and function value all agree?
Low d High minus High d Low over Low squared
What is Quotient Rule?
An integral without limits.
What is an Indefinite Integral?
The property that implies that a function is concave down.
What is a negative second derivative?
A geometric representation of particular solutions to a differential equation.
What is a Slope Field?
Type of discontinuity that occurs when the left- and right-hand limits do not agree.
What is a jump discontinuity?
The technique for differentiating a function of multiple variables with respect to a single variable.
What is Implicit Differentiation?
An algebraic technique involving renaming variables in order to make integration simpler.
What is Substitution?
A type of problem in which various quantities change together.
What is Related Rates?
The result that guarantees the existence of an absolute maximum and an absolute minimum for a function over a closed and bounded interval.
What is the Extreme Value Theorem?
The type of limit used to identify horizontal asymptotes of the graph of a function.
What is a limit at infinity?
The geometric meaning of the derivative at a point.
What is the slope of the tangent line?
A method for approximating the value of integrals.
What are Riemann Sums?
Result which states that there is a point on the graph of a continuous function where the tangent line is parallel to a secant line.
What is the Mean Value Theorem?
The antiderivative of velocity.
What is position?
Type of discontinuity that occurs at a vertical asymptote.
What is an Essential or Infinite discontinuity?
The 37th derivative of a degree 36 polynomial.
What is 0?
The antiderivative of the number 1.
What is x+C?
Result that allows for the computation of a limit of a quotient function by taking the derivative of the numerator and denominator separately.
What is L'Hopital's Rule?
A point where the derivative of a function changes from decreasing to increasing, in terms of the original function.
What is a Point of Inflection?