Concavity of Functions EXPLAINED with Examples
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Concavity of Functions EXPLAINED with Examples
Learn what Concavity is and how to find it for any function! Concavity is an incredibly important principle for many Calculus applications. Just as the first derivative of a function corresponds to the function's slope, the second derivative corresponds to the function's concavity. This concept is often used to find and classify relative ...
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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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