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Determine whether each statement is true or false. You have one submission for each statemen (a) If f'(c) = 0, then f has a relative maximum or minimum at x = c. OTrue OFalse (b) If f'(x) changes from positive to negative at x = a, then f has a relative maximum at x = a. OTrue OFalse (c) If f'(x) > 0 on (a,b), then f is increasing on the interval (a,b). OTrue False (d) If f'(c) does not exist, then f(x) has a critical point at x = C. OTrue OFalse

Determine whether each statement is true or false. You have one submission for each statemen (a) If f'(c) = 0, then f has a relative maximum or minimum at x = c. OTrue OFalse (b) If f'(x) changes from positive to negative at x = a, then f has a relative maximum at x = a. OTrue OFalse (c) If f'(x) > 0 on (a,b), then f is increasing on the interval (a,b). OTrue False (d) If f'(c) does not exist, then f(x) has a critical point at x = C. OTrue OFalse

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 11E
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**Exercise: Determining the Truth of Calculus Statements** Determine whether each statement is true or false. You have one submission for each statement. (a) If f’(c) = 0, then f has a relative maximum or minimum at x = c. - ⭕True ⭕False (b) If f’(x) changes from positive to negative at x = a, then f has a relative maximum at x = a. - ⭕True ⭕False (c) If f’(x) ≥ 0 on (a,b), then f is increasing on the interval (a,b). - ⭕True ⭕False (d) If f’(c) does not exist, then f(x) has a critical point at x = c. - ⭕True ⭕False
Transcribed Image Text:**Exercise: Determining the Truth of Calculus Statements** Determine whether each statement is true or false. You have one submission for each statement. (a) If f’(c) = 0, then f has a relative maximum or minimum at x = c. - ⭕True ⭕False (b) If f’(x) changes from positive to negative at x = a, then f has a relative maximum at x = a. - ⭕True ⭕False (c) If f’(x) ≥ 0 on (a,b), then f is increasing on the interval (a,b). - ⭕True ⭕False (d) If f’(c) does not exist, then f(x) has a critical point at x = c. - ⭕True ⭕False
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