If `f(x), g(x)` and `h(x)` are three polynomials of degree two and
`phi(x)=|[f(x),g(x),h(x)],[f'(x),g'(x),h'(x)],[f''(x),g''(x),h''(x)]|` ,then `phi'(x)` is
| A. |
a one degree polynomial |
| B. |
a three degree polynomial |
| C. |
a two degree polynomial |
 |
| D. |
none of the above |
`=0+0+0`
In `1^(st)` determinant, `1^(st)` and `2^(nd)` row are same, in `2^(nd)` determinant `2^(nd)` and `3^(rd)` row are same and in the last determinant all elements of `3^(rd)` row are 0 as f(x),g(x) and h(x) all are polynomial of degree 2. So `3^(rd)` derivative is.