csat-suneung· South-Korea· csat__math-science3 marks
For the quartic function $f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 6 x ^ { 2 } + 4$, the slope of the tangent line at the point $( a , b )$ on the graph is 4. Find the value of $a ^ { 2 } + b ^ { 2 }$. [3 points]
For the quartic function $f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 6 x ^ { 2 } + 4$, the slope of the tangent line at the point $( a , b )$ on the graph is 4. Find the value of $a ^ { 2 } + b ^ { 2 }$. [3 points]