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If g(x)=(f(x))/((x-a)(x-b)(x-c)), where ...

If `g(x)=(f(x))/((x-a)(x-b)(x-c)),` where f(x) is a polynomial of degree `lt3,` then prove that
`(dg(x))/(dx)=|{:(1,a,f(a)(x-a)^(-2)),(1,b,f(b)(x-b)^(-2)),(1,c,f(c)(x-c)^(-2)):} |divide|{:(a^(2),a,1),(b^(2),b,1),(c^(2),c,1):}|.`

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