Find the derivatives of the followings from the `1^(st)` principle.
`sin^2x`

Explanation

Let, `f(x)=sin^2x`
`thereforef.(x)=lim_(hrarr0)(f(x+h)-f(x))/h`
`=lim_(hrarr0)(sin^2(x+h)-sin^2x)/h`
`=lim_(hrarr0)(sin{(x+h)+x}.sin{(x+hx)-x})/h`
`=lim_(hrarr0)(sin(2x+h).sinh)/h`
`=lim_(hrarr0)(sin(2x+h).sinh)/hxxlim_(hrarr0)(sinh)/h`
`=sin2x xx1=sin2x`