Suppose f(x) is some function, and you determine the second derivative is f''(x) = 3(x+3)(x - 2). Find the intervals on which the function is concave up and concave down. Write the intervals using inequalities not including the endpoints. Intervals where f(x) is concave up: x < -1 or x>3 Intervals where f(x) is concave down: 3

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Suppose f(x) is some function, and you determine the second derivative is f''(x) = 3(x+3)(x - 2). Find
the intervals on which the function is concave up and concave down. Write the intervals using inequalities not
including the endpoints.
Intervals where f(x) is concave up: x < -1 or x>3
Intervals where f(x) is concave down: 3 < x < -1
X
X
Transcribed Image Text:Suppose f(x) is some function, and you determine the second derivative is f''(x) = 3(x+3)(x - 2). Find the intervals on which the function is concave up and concave down. Write the intervals using inequalities not including the endpoints. Intervals where f(x) is concave up: x < -1 or x>3 Intervals where f(x) is concave down: 3 < x < -1 X X
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