1.

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): `(x^(2)+1)cos x`

Answer» Let `y=(x^(2)+1)cos x`
`rArr (dy)/(dx)=(d)/(dx)[(x^(2)+1)cos x]`
`=(x^(2)+1)(d)/(dx)cos x+cos x(d)/(dx)(x^(2)+1)`
`=(x^(2)+1)(-sinx)+cos x(2x)`
`=-(x^(2)+1)sin x+2x cos x`


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