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Calculus Vocabulary
First 32 Weeks
Calculus Vocabulary
First 32 Weeks

Average Rate of Change: The change in the value of a quantity divided by the elapsed time. For a function, this is thechange in the y-value divided by the change in the x-value for two distinct points on the graph.

Average Velocity:  is displacement over total time.

Chain Rule: A method for findingthe derivative of a composition of functions. The formula is

Continuous: A function with a connected graph. Prolonged without interruption

Derivative: A function which gives the slope of a curve; thatis, the slope of the line tangent to a function. The first derivative of a function f at a point x is commonly written f '(x).

Differentiability: Possessing a derivative. A curve that is smooth andcontains no discontinuities or cusps. Formally, a curve is differentiable at all values of the domain variable(s) for which the derivative exists.

Indeterminate form of a limit: In calculus,an indeterminate form is an algebraic expression obtained in the context of limits. Limits involving algebraic operations are often performed by replacing sub expressions by their limits; if the expressionobtained after this substitution does not give enough information to determine the original limit, it is known as an indeterminate form.  The indeterminate forms include 00, 0/0, 1∞, ∞ − ∞, ∞/∞, 0 × ∞,and ∞0.

Infinity: A "number" which indicates a quantity, size, or magnitude that is larger than any real number. The number infinity is written as a sideways eight: ∞. Negative infinity is written–∞.

Instantaneous Rate of Change: The rate of change at a particular moment. Same as the value of the derivative at a particular point. For a function, the instantaneous rate of change at a point isthe same as the slope of the tangent line. That is, it's the slope of a curve. Note: Over short intervals of time, the average rate of change is approximately equal to the instantaneous rate of...
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