If F Is Continuous Over the Closed Interval $[ 1,4 ]$

If f is continuous over the closed interval $[ 1,4 ]$ and differentiable over the open interval $( 1,4 )$ , and that $f ^ { \prime } ( x ) \leq 5$ for all x in $[ 1,4 ]$ . If $f ( 1 ) = 2$ , what is the maximum possible value that f(4) can be?

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