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): `sin^(n)x`

Answer» Let `y=sin^(n)x`
`rArr(dy)/(dx)=(d)/(Dx)sin^(n)x`
`=(d)/(dx)=(d)/(dx)sin^(n)x`
`=(d)/(dx)(sin x)^(n)=n(sin x)^(n-1)(d)/(dx)(sin x)`
`=n.sin^(n-1)x.cos x`


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