Find a cubic function $f ( x ) = a x ^ { 3 } - b x ^ { 2 } + c x - d$ that has a local maximum value of 112 at 1 and a local minimum value of $- 1,184$ at 7 .

Name: Find a cubic function $f ( x ) = a x ^ { 3 } - b x ^ { 2 } + c x - d$ that has a local maximum value of 112 at 1 and a local minimum value of $- 1,184$ at 7 .
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The Answer of Find a cubic function $f ( x ) = a x ^ { 3 } - b x ^ { 2 } + c x - d$ that has a local maximum value of 112 at 1 and a local minimum value of $- 1,184$ at 7 .

Find a Cubic Function f(x)=ax3−bx2+cx−df ( x ) = a x ^ { 3 } - b x ^ { 2 } + c x - df(x)=ax3−bx2+cx−d

Find a Cubic Function $f ( x ) = a x ^ { 3 } - b x ^ { 2 } + c x - d$