Index

A

absolute extremum

absolute maximum

absolute minimum

Absolute Value Function

acceleration

algebraic function

amount of change

antiderivative

average rate of change

average value of a function

average velocity

C

chain rule

change of variables

Closeness

composite function

concave down

concave up

concavity

concavity test

constant multiple law for limits

constant multiple rule

Constant Rule

continuity

continuity at a point

continuity from the left

continuity from the right

continuity over an interval

critical point

cubic function

D

decreasing on the interval I

definite integral

degree

dependent variable

derivative

derivative function

Derivative of cosecant function

Derivative of cosine function

Derivative of cotangent function

Derivative of exponential functions

Derivative of inverse cosecant function

Derivative of inverse cosine function

Derivative of inverse cotangent function

Derivative of inverse secant function

Derivative of inverse tangent function

Derivative of logarithmic functions

Derivative of secant function

Derivative of sine function

Derivative of tangent function

Derivative of the general exponential function

Derivative of the general logarithmic function

Derivative of the natural exponential function

Derivative of the natural logarithmic function

difference law for limits

difference quotient

Difference Rule

Differentiable function

differentiable on S

differential

differential calculus

differential form

discontinuity at a point

domain

E

end behavior

even function

exponent

extreme value theorem

F

Fermat’s theorem

First Derivative Test

function

fundamental theorem of calculus

fundamental theorem of calculus, part 1

fundamental theorem of calculus, part 2

G

graph of a function

H

horizontal asymptote

horizontal line test

hyperbolic functions

I

implicit differentiation

increasing on the interval I

indefinite integral

independent variable

indeterminate forms

infinite discontinuity

infinite limit

infinite limit at infinity

inflection point

initial value problem

instantaneous rate of change

instantaneous velocity

integrable function

integral calculus

Integrals of Exponential Functions

integrand

integration by substitution

Integration Formulas Involving Logarithmic Functions

Intermediate Value Theorem

intuitive definition of the limit

inverse function

inverse function theorem

inverse hyperbolic functions

inverse trigonometric functions

iterative process

J

jump discontinuity

L

L’Hôpital’s rule

limit

limit at infinity

limit laws

linear approximation

linear function

linearization

local extremum

local maximum

local minimum

Logarithmic Function

lower sum

M

marginal cost

marginal profit

marginal revenue

mathematical model

Mean Value Theorem

Mean Value Theorem for Integrals

method of exhaustion

multivariable calculus

N

natural exponential function

natural logarithm

net change theorem

net signed area

Newton’s method

number e

O

oblique asymptote

odd function

optimization problems

P

partition

percentage error

periodic function

points of inflection

polynomial function

population growth rate

power function

power rule

Power rule with rational exponents

product law for limits

product rule

propagated error

Q

quadratic function

quotient law for limits

quotient rule

R

radians

range

rational function

regular partition

related rates

relative error

removable discontinuity

restricted domain

Riemann sum

Rolle’s Theorem

root function

root law for limits

S

secant line

second derivative test

sigma notation

slope

speed

squeeze theorem

sum law for limits

Sum Rule

summation notation

symmetry about the origin

T

table of values

tangent

tangent line

tangent line approximation

The power rule for functions

total area

transcendental function

transformation of a function

trigonometric functions

trigonometric identity

U

unit circle

upper sum

V

variable of integration

vertical asymptote

vertical line test

Z

zeros of a function