The first and second derivatives of the function f(x) have the values given in the table....

  

 

   

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The first and second derivatives of the function f(x) have the values given in the table. (a) Find the x-coordinates of all relative extreme points. (b) Find the x-coordinates of all inflection points. X f'(x) 0≤x<3 Positive 0 3 3<x<5 Positive 5 5<x<7 7 (a) x = 3, x = 5 (b) x = 3, x = 7 Positive Positive Negative Negative 0 7<x ≤ 10 Negative Negative (a) x = 7 (b) x = 3, x = 5 (a) x = 3, x = 7 (b) x = 3, x = 5 f" (x) Negative 0 O (a) x = 3, x = 5 (b) x = 7 Positive 0 The first and second derivatives of the function f(x) have the values given in the table. (a) Find the x-coordinates of all relative extreme points. (b) Find the x-coordinates of all inflection points. X f'(x) 0≤x<3 Positive 0 3 3<x<5 Positive 5 5<x<7 7 (a) x = 3, x = 5 (b) x = 3, x = 7 Positive Positive Negative Negative 0 7<x ≤ 10 Negative Negative (a) x = 7 (b) x = 3, x = 5 (a) x = 3, x = 7 (b) x = 3, x = 5 f" (x) Negative 0 O (a) x = 3, x = 5 (b) x = 7 Positive 0

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