BC Calculus Review

These flashcards cover key vocabulary and concepts for BC Calculus, including derivatives, integrals, and theorems essential for understanding calculus principles.

Derivative

A measure of how a function changes as its input changes; the slope of the tangent line to the graph of the function.

Integral

A mathematical operation that acquires the area under the curve of a function, often represented as the antiderivative.

Chain Rule

A formula for computing the derivative of the composition of two or more functions.

Riemann Sum

An approximation of the integral by summing the areas of rectangles under the curve of a function.

Taylor Series

An infinite series that represents a function as a sum of terms calculated from the values of its derivatives at a single point.

Mean Value Theorem

A theorem stating that if a function is continuous over a closed interval and differentiable over the open interval, there is at least one point in the interval where the derivative equals the average rate of change.

Slope of the Tangent Line

The derivative of the function at a point, representing the instantaneous rate of change.

Convergence Test

A method to determine whether an infinite series converges or diverges.

Squeeze Theorem

A theorem used to find the limit of a function bounded by two other functions that have the same limit.

Polar Area

The area enclosed by a polar curve can be computed using integration in polar coordinates.