curves that intersect at more than one point 17 videos
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One-Sided Limits
Calculus Limits and Continuity
How to use one-sided limits to show that a limit does not exist.
one sided limits two sided limits limit does not exist piecewise functions left hand limit right hand limit table of values numerical approach -
Critical Points
Calculus Applications of the Derivative
How to find a two-sided limit by investigating one-sided limits.
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Definite Integrals and Area
Calculus The Definite Integral
How to use definite integrals to find the area between a curve or under a curve.
definite integral area problems area between curves -
Concavity and Inflection Points
Calculus Applications of the Derivative
How to show that a function is discontinuous at a point x=a because it is not defined there.
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Curve Sketching with Derivatives
Calculus Applications of the Derivative
How to evaluate the limit of a function using continuity.
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Approximating Area Using Rectangles
Calculus The Definite Integral
How to approximate the area under a curve using rectangles.
approximating area under a curve left hand sums right hand sums limits -
Continuity
Calculus Limits and Continuity
How to determine whether a function f(x) is continuous at a particular point x=a.
limits definition of a function continuous at a point domain of a function -
Limits: A Graphical Approach
Calculus Limits and Continuity
How to determine one-sided and two-sided limits from the graph of a function.
one sided limits two sided limits limit does not exist piecewise functions left hand limit right hand limit graph graphical approach -
Infinite Limits; Vertical Asymptotes
Calculus Limits and Continuity
How to use one-sided limits to find a vertical asymptote.
one sided limits infinity limit does not exist rational functions left hand limit right hand limit table of values numerical approach vertical asymptote -
Average Value of a Function
Calculus The Definite Integral
How to find the average value of a function over an interval [a,b].
average value antidifferentiation limits of integration functions area under a curve -
Optimization Using the Closed Interval Method
Calculus Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous.
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Evaluating Limits Algebraically, Part 2
Calculus Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous.
limits definition of continuous function domain of a function rational functions factoring polynomials holes -
The Definition of the Derivative
Calculus The Derivative
How to define the derivative of a function at a point x=a.
average rate of change slope secant line instantaneous rate of change tangent line limits derivative difference quotient -
Relative Maxima and Minima
Calculus Applications of the Derivative
How to use one-sided limits to find a vertical asymptote.
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Average Velocity
Calculus The Derivative
How to compute the average velocity of an object moving in one dimension.
average velocity position height time change in position change in time -
Optimization Using the Second Derivative Test
Calculus Applications of the Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.
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The First Derivative Test for Relative Maximum and Minimum
Calculus Applications of the Derivative
How to use an algebraic approach to find one-sided limits of a rational function, and how these limits can be used to find a vertical asymptote.
