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50 Terms of Calculus

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Across
3
The x-value of a critical point.
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Distance covered per unit of time. Always Positive.
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Limits of Integration.
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A function which gives the slope of a curve; that is, the slope of the line tangent to a function.
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A formula for the derivative of the product of two functions.
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A sharp point on a curve.
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An integral which is evaluated over an interval.
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Exponential Growth.
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A limit that has an infinite result.
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The total amount of space enclosed in a solid.
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A curve that is smooth and contains no discontinuities or cusps.
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The union of a circle and its interior.
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The lowest point in a particular section of a graph.
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An integral which is NOT evaluated over a specific interval.
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Change in something. Greek letter.
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Greatest Lower Bound.
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A formula for the derivative of the quotient of two functions.
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A line or curve that the graph of a relation approaches more and more closely the further the graph is followed.
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The function being integrated in either a definite or indefinite integral.
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The value that a function or expression approaches as the domain variable(s) approach a specific value.
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Describes a series that converges when all terms are replaced by their absolute values.
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The branch of mathematics dealing with limits, derivatives, definite integrals, indefinite integrals, and power series.
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A class of problems in which rates of change are related by means of differentiation.
Down
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The rate of change of velocity over time.
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Area under a Curve
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Endless. Boundless.
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A series that has no last term.
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The highest point over the entire domain of a function or relation.
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The region between two concentric circles which have different radii.
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A curve shaped like a spring.
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A method for determining whether a critical point is a minimum, maximum, or neither.
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A point at which the graph of a relation or function is not connected.
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The lowest point over the entire domain of a function or relation.
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Antiderivative.
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A method for finding the derivative of a non-explicit defined function or relation.
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The rate of change at a particular moment. Same as the value of the derivative at a particular point.
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The rate of change of the position of an object.
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A set of instructions used to solve a problem or obtain a desired result.
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The use of algebraic and/or numeric methods as the main technique for solving a math problem.
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To fail to approach a finite limit.
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The process of finding the derivative of an explicit function.
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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.
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Exponential Decay.
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The formula for finding the derivative of a power of a variable.
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The formula is f(g(x))=f'(g(x))g'(x).
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The highest point in a particular section of a graph.
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A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions 0/0 and inf/inf.
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A theorem verifying that the graph of a continuous function is connected.
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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.
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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.