Find the differential coefficient of `(x^(2)+7x+2)(x+3)` with respect to 'x'.

Explanation

Let `y=(x^(2)+7x+2)(x+3)`
`rArr(dy)/(dx)=(d)/(dx)[(x^(2)+7x+2).(x+3)]`
`=(x^(2)+7x+2)(d)/(dx)(x+3)`
`+(x+3)(d)/(dx)(x^(2)+7x+2)`
`=(x^(2)+7x+2).1+(x+3) .(2x+7)`
`=(x^(2)+7x+2)+(2x^(2)+13x+21)`
`=(3x^(2)+20x+ 23)`.