2 A curve has equation \(y = \mathrm { f } ( x )\)
The curve has a point of inflection at \(x = 7\)
It is given that \(\mathrm { f } ^ { \prime } ( 7 ) = a\) and \(\mathrm { f } ^ { \prime \prime } ( 7 ) = b\), where \(a\) and \(b\) are real numbers.
Identify which one of the statements below must be true.
Circle your answer.
\(\mathrm { f } ^ { \prime } ( 7 ) \neq 0\)
\(\mathrm { f } ^ { \prime } ( 7 ) = 0\)
\(\mathrm { f } ^ { \prime \prime } ( 7 ) \neq 0\)
\(\mathrm { f } ^ { \prime \prime } ( 7 ) = 0\)