Question

find f' in terms of g'. f(x)=g(tan sqrtx)

Answer 1

\[f \left( x \right)=g \left( \tan \sqrt{x} \right)\]
\[f \prime \left( x \right)=g \prime \left( \tan \sqrt{x} \right)*\sec ^{2}\sqrt{x}*\frac{ 1 }{ 2\sqrt{x} }\]