58 Videos for "limit problems"

Approximating Area Using Rectangles  Problem 1
Math › Calculus › The Definite Integral
How to estimate the area between a curve and the xaxis with left and righthand sums. 
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. 
Approximating Area Using Rectangles  Problem 2
Math › Calculus › The Definite Integral
How to estimate the area under a curve, f = x^2 +1, with left and righthand sums. 
Average Value of a Function  Problem 2
Math › Calculus › The Definite Integral
How to use definite integrals to find the average value of a function, f= 12x/(x^2 + 16), over an interval [a,b]. 
Computing Definite Integrals using Substitution  Problem 3
Math › Calculus › The Definite Integral
How to evaluate definite integrals using the method of substitution. 
Computing Definite Integrals using Substitution  Problem 2
Math › Calculus › The Definite Integral
How to evaluate definite integrals of rational functions by using the method of substitution. 
Instantaneous Velocity  Problem 1
Math › Calculus › The Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time. 
Instantaneous Rate of Change  Problem 1
Math › Calculus › The Derivative
How to estimate the instantaneous rate of change of the amount of a drug in a patient's bloodstream by computing average rates of change over shorter and shorter intervals of time, and how to represent this rate of change on a graph. 
Intervals of Increase and Decrease  Problem 3
Math › Calculus › Applications of the Derivative
How to show that the limit does not exist by showing that the lefthand limit does not equal the righthand limit. 
Intervals of Increase and Decrease  Problem 1
Math › Calculus › Applications of the Derivative
How to use onesided limits to show that a limit does not exist. 
Critical Points  Problem 3
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
Critical Points  Problem 1
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
Curve Sketching with Derivatives  Problem 2
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
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. 
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. 
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. 
Optimization Using the Closed Interval Method  Problem 3
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.