`d/(dx)[log (sqrt(sin sqrt(e^(x))))]=`

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d/(dx)e^(log sqrt(x)}=

(d)/(dx) {log ((x )/(e ^(tanx)))}=

(d)/(dx) {log (sqrt(cosec x +1)- sqrt(cosec -1))}=

(d)/(dx)[log((x^(n))/(e^(x)))]=

(d)/(dx ) log (x + sqrt(x ^(2) +1 ))}=

(d)/(dx)(ln sin sqrt(x))=

(d)/(dx) {log ((x ^(2))/(e ^(x)))}=

(d)/(dx)((log x)/(sin x))=

(d)/(dx)log[sqrt((1-cos x)/(1+cos x))]=