Differentiate each of the following from first principle: `cossqrt(x)`

Explanation

f(x)=`cossqrt(x)`



f'(x)=`lim_(h->0)(f(x+h)-f(x))/2h`



=`lim_(h->0) cos(sqrt(x+h)-cossqrt(x))/h`
`=lim_(h->0) sin((sqrt(x+h)-cossqrt(x))sin/h`



`lim_(h->0) (2sin((sqrt(x+h)+sqrt(x))/2).sin((sqrt(x+h)+sqrt(x))/2))/h`
...