csat-suneung 2011 Q18

csat-suneung · South-Korea · csat__math-science 3 marks Stationary points and optimisation Determine parameters from given extremum conditions

When the local minimum value of the function $f ( x ) = ( x - 1 ) ^ { 2 } ( x - 4 ) + a$ is 10, find the value of the constant $a$. [3 points]

When the local minimum value of the function $f ( x ) = ( x - 1 ) ^ { 2 } ( x - 4 ) + a$ is 10, find the value of the constant $a$. [3 points]