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Concavity, Inflection Points, and Second Derivative
This calculus video tutorial provides a basic introduction into concavity and inflection points. It explains how to find the inflections point of a function using the second derivative and how to find the intervals where the function is concave up and concave down using a sign chart on a number line. When the second derivative is positive, the ...
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In each part, sketch the graph of a function f with the stated properties, and discuss the signs of f^' and f^''. (a) The function f is concave up and increasing on the interval (-∞,+∞). (b) The function f is concave down and increasing on the interval (-∞,+∞). (c) The function f is concave up and decreasing on the interval (-∞,+∞). (d) The function f is concave down and decreasing on the interval (-∞,+∞). | Numerade
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