Find the derivative of the following functions (it is to be understand that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers):
`(ax^(2)+sinx)(p+q cosx)`

Explanation

Let `y=(ax^(2)+sin x)(p+q cos x)`
`rArr (dy)/(dx)=(d)/(dx)[(ax)^(2)+sinx)(p+q cos x)`
`=(ax^(2)+sin x)(d)/(dx)(p+qcos x)`
`+(p+q cos x)(d)/(dx)(ax^(2)+sin x)`
`=(ax^(2)+sinx)(0-qsin x)`
`+(p+q cos x)(d)/(dx)(ax^(2)+sinx)`
`=-q sinx(ax^(2)+sinx)`
`+(p+qcos x)(2ax+cos x)`.