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If f(x)=|[(x-a)^4, (x-a)^3, 1] , [(x-b)^...

If `f(x)=|[(x-a)^4, (x-a)^3, 1] , [(x-b)^4, (x-b)^3,1] , [(x-c)^4, (x-c)^3,1]|` then `f'(x)=lambda|[(x-a)^4,(x-a)^2,1] , [(x-b)^4, (x-b)^2, 1] , [(x-c)^4, (x-c)^2,1]|`. Find the value of `lambda`

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