# 3.1: Functions, Limits, and Continuity

Difficulty Level:

**At Grade**Created by: CK-12### Image Attributions

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antiderivative
antidifferentiation
area between two curves
(70 more)
area of a surface of revolution
area problem
CK.MAT.ENG.TE.1.Calculus-Enrichment.3
composition of functions
continuity
definite integrals
derivative
derivatives of trigonometric functions
Dirichelt's function
domain
exponential functions
exponential growth and decay
extrema
first derivative test
functions
implicit differentiation
improper integrals
indefinite integrals
indeterminate form
infinite limits
infinite series
initial value problem
integral
integration by partial fractions
integration by parts
integration by substitution
inverse functions
l'Hopital's rule
length of a plane curve
limit
limits at infinity
linearization
logarithmic functions
MacLaurin series
maxima
Maxwell's equations
Mean Value Theorem
minima
Newton's Method
nth root test
one-sided limit
optimization
ordinary differential equations
periodic functions
points of inflection
power rule
power series
product rule
quotient rule
range
rates of change
ratio test
related rates
relations
Riemann sums
root test
sequences
Simpson's rule
slope function
tangent
Taylor polynomials
Taylor series
techniques of differentiation
the Chain Rule
trigonometric functions
trigonometric integrals
trigonometric substitution
two-sided limit
vertical asymptotes
volumes

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## Date Created:

Feb 23, 2012## Last Modified:

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