csat-suneung 2008 Q18

csat-suneung · South Korea · csat__math-science 3 marks Stationary points and optimisation Find critical points and classify extrema of a given function

The function $f ( x ) = x ^ { 3 } - 12 x$ has a local maximum value $b$ at $x = a$. Find the value of $a + b$. [3 points]

The function $f ( x ) = x ^ { 3 } - 12 x$ has a local maximum value $b$ at $x = a$. Find the value of $a + b$. [3 points]