definition of a function continuous at a point 41 videos

Chain Rule: The General Power Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is a power function.
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Definition of Antiderivatives
Calculus Antiderivatives and Differential Equations
How to define an antiderivative.
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Chain Rule: The General Exponential Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is exponential.
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Curve Sketching with Derivatives
Calculus Applications of the Derivative
How to evaluate the limit of a function using continuity.

Tricky Substitutions Involving Radicals
Calculus Antiderivatives and Differential Equations
How to antidifferentiate functions with radicals.
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Derivatives of Logarithmic Functions
Calculus The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
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Definition of Indefinite Integrals
Calculus Antiderivatives and Differential Equations
How to define an indefinite integral.
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Chain Rule: The General Logarithm Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is the natural logarithm.
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The Product Rule
Calculus Techniques of Differentiation
How to differentiate a product of two functions.
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Substitutions Involving e^x or ln(x)
Calculus Antiderivatives and Differential Equations
How to use the method of substitution when the antiderivatives involve e^x or ln[x].
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Antidifferentiation
Calculus Antiderivatives and Differential Equations
How to find an antiderivative of a function.
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Limits: A Graphical Approach
Calculus Limits and Continuity
How to determine onesided and twosided limits from the graph of a function.
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Limits and End Behavior
Calculus Limits and Continuity
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.
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The Quotient Rule
Calculus Techniques of Differentiation
How to differentiate a quotient of two functions.
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Limits: A Numerical Approach
Calculus Limits and Continuity
How to estimate a limit using a table of values.
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An Important Limit
Calculus The Derivative
How to interpret the value of a limit important in the derivative of exponential functions.
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Economics: Marginal Cost & Revenue
Calculus Applications of the Derivative
How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue.
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Optimization Using the First Derivative Test
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.

The First Derivative Test for Relative Maximum and Minimum
Calculus Applications of the Derivative
How to use an algebraic approach to find onesided limits of a rational function, and how these limits can be used to find a vertical asymptote.

OneSided Limits
Calculus Limits and Continuity
How to use onesided limits to show that a limit does not exist.
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