The function's value will always be greater than or equal to the local linear approximation of a function f if, for all x in an interval containing the point of tangency. a. f "(x) < 0 b. f "(x) > 0 c. f '(x) < 0 d. f '(x) > 0

The function's value will always be greater than or equal to the local linear approximation of a function f if, for all x in an interval containing thepoint of tangency.This refers to the the value that the first derivative of the function is positive or greater than zero.
So accordingly,we will select the option D: f' (x)>0
I hope it works