Let f be a twice differentiable function on an open interval (a, b). Which statements regarding the second derivative and concavity are true? If f" (c) is positive, then the graph of ƒ has a local maximum at x = c. If f is increasing, then the graph of f is concave down. The graph of f is concave up if f" is positive on (a, b). The graph of f has a local minimum at x = c if f" (c) = 0. The concavity of a graph changes at an inflection point.

Let f be a twice differentiable function on an open interval (a, b). Which statements regarding the second derivative and concavity are true? If f" (c) is positive, then the graph of ƒ has a local maximum at x = c. If f is increasing, then the graph of f is concave down. The graph of f is concave up if f" is positive on (a, b). The graph of f has a local minimum at x = c if f" (c) = 0. The concavity of a graph changes at an inflection point.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 1CR

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