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Given-that-f-x-determinant-x-x-2-x-3-1-2x-3x-2-0-2-6x-find-f-x-




Question Number 64350 by Rio Michael last updated on 16/Jul/19
Given that f(x) =  determinant ((x,x^2 ,x^3 ),(1,(2x),(3x^2 )),(0,2,(6x))), find f ′ (x)
Giventhatf(x)=|xx2x312x3x2026x|,findf(x)
Commented by Tony Lin last updated on 17/Jul/19
f(x)=12x^3 +2x^3 −6x^3 −6x^3 =2x^3   f′(x)=6x^2
f(x)=12x3+2x36x36x3=2x3f(x)=6x2
Commented by Rio Michael last updated on 17/Jul/19
thanks
thanks
Commented by Prithwish sen last updated on 17/Jul/19
f′(x)= determinant (((1   2x   3x^2 )),((0    2      6x))) = 12x^2 −6x^2  = 6x^2                     0     0      6
f(x)=|12x3x2026x|=12x26x2=6x2006

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