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# 50 Terms of Calculus

Across
The x-value of a critical point.
Distance covered per unit of time. Always Positive.
Limits of Integration.
A function which gives the slope of a curve; that is, the slope of the line tangent to a function.
A formula for the derivative of the product of two functions.
A sharp point on a curve.
An integral which is evaluated over an interval.
Exponential Growth.
A limit that has an infinite result.
The total amount of space enclosed in a solid.
A curve that is smooth and contains no discontinuities or cusps.
The union of a circle and its interior.
The lowest point in a particular section of a graph.
An integral which is NOT evaluated over a specific interval.
Change in something. Greek letter.
Greatest Lower Bound.
A formula for the derivative of the quotient of two functions.
A line or curve that the graph of a relation approaches more and more closely the further the graph is followed.
The function being integrated in either a definite or indefinite integral.
The value that a function or expression approaches as the domain variable(s) approach a specific value.
Describes a series that converges when all terms are replaced by their absolute values.
The branch of mathematics dealing with limits, derivatives, definite integrals, indefinite integrals, and power series.
A class of problems in which rates of change are related by means of differentiation.
Down
The rate of change of velocity over time.
Area under a Curve
Endless. Boundless.
A series that has no last term.
The highest point over the entire domain of a function or relation.
The region between two concentric circles which have different radii.
A curve shaped like a spring.
A method for determining whether a critical point is a minimum, maximum, or neither.
A point at which the graph of a relation or function is not connected.
The lowest point over the entire domain of a function or relation.
Antiderivative.
A method for finding the derivative of a non-explicit defined function or relation.
The rate of change at a particular moment. Same as the value of the derivative at a particular point.
The rate of change of the position of an object.
A set of instructions used to solve a problem or obtain a desired result.
The use of algebraic and/or numeric methods as the main technique for solving a math problem.
To fail to approach a finite limit.
The process of finding the derivative of an explicit function.
A major theorem of calculus that relates values of a function to a value of its derivative. Essentially the theorem states that for a "nice" function, there is a tangent line parallel to any secant line.
Exponential Decay.
The formula for finding the derivative of a power of a variable.
The formula is f(g(x))=f'(g(x))g'(x).
The highest point in a particular section of a graph.
A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions 0/0 and inf/inf.
A theorem verifying that the graph of a continuous function is connected.
The change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph.
A method for approximating the value of a function near a known value. The method uses the tangent line at the known value of the function to approximate the function's graph.