Differentiate the following functions with respect to `x` from first principles: `tansqrt(x)`

Explanation

Let `f(x)=tansqrt(x)`


By using first principle,
`f′(x)=lim_(h->0)(f(x+h)−f(x))/h`


=`lim_(h->0)(tansqrt(x+h)−tansqrt(x))/h`


=`lim_(h->0)((sinsqrt(x+h)/(cos sqrt(x+h))−(sinsqrt(x))/(cos sqrt(x)))/h)`


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