PART 12:例題-連鎖律

設 \(f(x) = {3^{\sqrt x }}\) , \(f'(x) = ?\)

SOL:

利用指數微分技巧搭配連鎖律, \(f'(x) = {3^{\sqrt x }}(\ln 3){\left( {\sqrt x } \right)^\prime }\)

得到 \(f'(x) = {3^{\sqrt x }}(\ln 3)\frac{1}{{2\sqrt x }}\)