Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Patrick Jones

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Finding Intervals of Increase and Decrease

       456–460 Find the intervals of increase and decrease, if any, for the given function.

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      460. ln

Using the First Derivative Test to Find Local Maxima and Minima

       461– 465 Use the first derivative to find any local maxima and any local minima.

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Determining Concavity

       466– 470 Find the intervals where the given function is concave up and concave down, if any.

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Identifying Inflection Points

       471–475 Find the inflection points of the given function, if any.

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Using the Second Derivative Test to Find Local Maxima and Minima

       476–480 Use the second derivative test to find the local maxima and local minima of the given function.

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Applying Rolle’s Theorem

       481– 483 Verify that the function satisfies the hypotheses of Rolle’s theorem. Then find all values c in the given interval that satisfy the conclusion of Rolle’s theorem.

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Using the Mean Value Theorem

       484–486 Verify that the given function satisfies the hypotheses of the mean value theorem. Then find all numbers c that satisfy the conclusion of the mean value theorem.

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