Doubt from Determinants

While expanding through C1 what we put sign for second element negative or positive (i.e if i am expanding this from C1 then shall i put -1 or 1 ?)

Bro simple h just see (-1)^(i+j) put the values of that element aur multiply karde for example 1st column 2 nd row will give minus 1 , so there will be minus

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Thank you

Question no 3 i am not getting the final result wanted please help

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In question 4 i am confused which terms to differentiate or should i expand the Determinant and then differentiate?