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): `(ax+b)^(n)`

Answer» Let `y=(ax+b)`
`rArry^(n)=(ax+b)^(n)`
`rArr (d)/(dx)(y^(n))=(d)/(dx)(ax+b)^(n)`
`rArr(d)/(dx)(ax+b)^(n)=(d)/(dx)(y^(n))`
`=ny^(n-1).(d)/(dx)(y)`
`=n(ax+b)^(n-1)(d)/(dx)(ax+b)`
`=n.a(ax+b)^(n-1)`


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