Are you sure the problem says ? Because , the derivative simplifies to
Now we may use the Chain Rule together with the fact that
I need to differentiate the function g(x) = tan ^-1 (x^(1/2))/ ln (e^x)
I am assuming I will use the quotient rule so
g'(x) = ln (e^x) X (1/(1+x^2))(1/2x^-1/2) dx - tan ^-1(x^(1/2)) e^x dx
it says not to simplify so am I right or am completely off track?