We have determined that there is a local minimum at x 5 4 Therefore, to determine the local minimum value at this point we calculate f 5 4 f ( x ) 6 sin ( x ) 6 cos ( x ) f 5 4 Furthermore, we have determined that there is a local maximum at x 4 Therefore, to determine the local maximum value at this point we calculate f 4 f ( x ) 6 sin ( x ) 6 cos ( x ) f 4 We use the results above to state the local minimum and maximum values of f local minimum value local maximum value

Question

We have determined that there is a local minimum at x   5 4   Therefore, to determine the local minimum value at this point we calculate f 5 4   f ( x )   6 sin ( x )   6 cos ( x ) f 5 4   Furthermore, we have determined that there is a local maximum at x   4   Therefore, to determine the local maximum value at this point we calculate f 4   f ( x )   6 sin ( x )   6 cos ( x ) f 4   We use the results above to state the local minimum and maximum values of f   local minimum value local maximum value

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We have determined that there is a local minimum at x = 5 4 . Therefore, to determine the local minimum value at this point

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