converting derivative graphs to functions 42 videos
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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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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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Tricky Substitutions Involving Radicals
Calculus Antiderivatives and Differential Equations
How to antidifferentiate functions with radicals.
substitution antidifferentiation radical functions -
Evaluating Limits Algebraically, Part 1
Calculus Limits and Continuity
How to evaluate the limit of a function using continuity.
limits definition of continuous function domain of a function rational functions -
The Quotient Rule
Calculus Techniques of Differentiation
How to differentiate a quotient of two functions.
differentiation quotient rule product rule derivatives -
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 -
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 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.
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Definition of Antiderivatives
Calculus Antiderivatives and Differential Equations
How to define an antiderivative.
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Differential Equations
Calculus Antiderivatives and Differential Equations
How to solve simple differential equations.
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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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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.
limits rational functions limit at infinity limit at negative infinity horizontal asymptotes end behavior -
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].
substitution antidifferentiation exponential functions logarithmic functions power functions -
The Method of Substitution
Calculus Antiderivatives and Differential Equations
How to evaluate an indefinite integral using the method of substitution.
antidifferentiation method of substitution change of variables derivatives differential -
Simple Substitutions
Calculus Antiderivatives and Differential Equations
How to use the method of substitution to avoid common integration mistakes.
antidifferentiation method of substitution change of variables derivatives differential -
Position, Velocity and Acceleration
Calculus Antiderivatives and Differential Equations
How to solve position, velocity and acceleration problems using differentiation equations.
differential equations derivatives position velocity acceleration -
Optimization Problems: Applications to Economics
Calculus Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.
cost revenue average cost optimization methods closed interval method first derivative test second derivative test -
Limits: A Numerical Approach
Calculus Limits and Continuity
How to estimate a limit using a table of values.
limits functions table of values numerical approach undefined -
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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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.
