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If y=|f(x)g(x)h(x)l m n a b c| , prove t...

If `y=|f(x)g(x)h(x)l m n a b c|` , prove that `(dy)/(dx)=|f^(prime)(x)g^(prime)(x)h^(prime)(x)l m n a b c|` .

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`y=|{:(,f'(x),g'(x),h'(x),),(,l,m,n,),(,a,b,c,):}|`
`implies y=(mc-nb)f(x)-(lc-na)g(x)+(lb-ma)h(x)`
`implies(dy)/(dx)=(mc-nb)f'(x)-(lc-na)g'(x)+(lb-ma)h'(x)`
`=|{:(,f'(x),g'(x),h'(x),),(,l,m,n,),(,a,b,c,):}| " "` Hence Proved.
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