Review Midterm Calculus

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What are critical values in calculus?

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Critical values are points in the domain of a function where the derivative is zero or undefined. They are important for finding local maxima and minima.

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What is the Quotient Rule in calculus?

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What is the Chain Rule in calculus?

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What is concavity in calculus?

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Concavity refers to the direction of the curvature of a function. A function is concave up if its second derivative is positive and concave down if its second derivative is negative.

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How do you find points of inflection?

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Points of inflection occur where the second derivative changes sign. To find them, set the second derivative equal to zero and solve for x.

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The function is concave up for all x, as its second derivative is positive everywhere, indicating no points of inflection.

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