If f (x) = x(x - 1)³, then which of the following statements is correct? f(x) has a maximum point at x=1 O f(x) has a point of inflection with a horizontal tangent line at x=1 O f(x) has a minimum point at x=½ 4 O f(x) has a point of inflection at x = 1 O None of the choices

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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 48E
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Question 9
If ƒ (x) = x(x − 1)³, then which of the following statements is correct?
O f(x) has a maximum point at x=1
O f(x) has a point of inflection with a horizontal tangent line at x=1
O f(x) has a minimum point at x=½
W
f(x) has a point of inflection at x =1
O None of the choices
Transcribed Image Text:U Question 9 If ƒ (x) = x(x − 1)³, then which of the following statements is correct? O f(x) has a maximum point at x=1 O f(x) has a point of inflection with a horizontal tangent line at x=1 O f(x) has a minimum point at x=½ W f(x) has a point of inflection at x =1 O None of the choices
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