88 Videos for "limits"

Concavity and Inflection Points  Problem 2
Math › Calculus › Applications of the Derivative
How to show that a function is discontinuous at a point x=a because its limit and its value at x=a are different. 
Curve Sketching with Derivatives  Problem 2
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Average Value of a Function  Concept
Math › Calculus › The Definite Integral
How to find the average value of a function over an interval [a,b]. 
The Definite Integral  Problem 1
Math › Calculus › The Definite Integral
How to use geometry to find the definite integral. 
The Definite Integral  Problem 2
Math › Calculus › The Definite Integral
How to evaluate a definite integral that involves a parabola. 
The Definite Integral  Problem 3
Math › Calculus › The Definite Integral
How to approximate a definite integral with rectangular sums. 
The Definition of the Derivative  Problem 3
Math › Calculus › The Derivative
How to compute the derivative using the definition, and how to find an equation of the line tangent to its graph at a point. 
Average Value of a Function  Problem 3
Math › Calculus › The Definite Integral
How to find the average value of a function over an interval [a,b]. 
Average Value of a Function  Problem 1
Math › Calculus › The Definite Integral
How to find the average value of a function over an interval [a,b]. 
Optimization Using the Closed Interval Method  Problem 1
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
Optimization Using the First Derivative Test  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph. 
Curve Sketching with Derivatives  Problem 4
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
Approximating Area Using Rectangles  Concept
Math › Calculus › The Definite Integral
How to approximate the area under a curve using rectangles. 
Derivatives of Logarithmic Functions  Concept
Math › Calculus › The Derivative
How to infer the derivative of the natural log function using a calculator investigation. 
Approximating Area Using Rectangles  Problem 3
Math › Calculus › The Definite Integral
How to estimate the area between a curve and the xaxis with left and righthand sums. 
Computing Definite Integrals using Substitution  Problem 1
Math › Calculus › The Definite Integral
How to evaluate definite integrals using the method of substitution. 
Computing Definite Integrals using Substitution  Concept
Math › Calculus › The Definite Integral
How to evaluate definite integrals using the method of substitution. 
Computing Definite Integrals using Substitution  Problem 3
Math › Calculus › The Definite Integral
How to evaluate definite integrals using the method of substitution. 
Instantaneous Rate of Change  Concept
Math › Calculus › The Derivative
How to estimate the instantaneous rate liquid is pouring out of a container at t=4 by computing average rates of change over shorter and shorter intervals of time.