Distance, Velocity, and Acceleration
The indefinite integral is commonly applied in problems involving distance, velocity, …
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Related Rates of Change
Some problems in calculus require finding the rate of change or two or more variables …
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Concavity and Points of Inflection
The second derivative of a function may also be used to determine the general shape of…
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Tangent and Normal Lines
The derivative of a function has many applications to problems in calculus. It may be …
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Second Derivative Test for Local Extrema
The second derivative may be used to determine local extrema of a function under certa…
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First Derivative Test for Local Extrema
If the derivative of a function changes sign around a critical point, the function is …
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Increasing/Decreasing Functions
The derivative of a function may be used to determine whether the function is increasi…
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Extreme Value Theorem
An important application of critical points is in determining possible maximum and mi…
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