Use sympy on Python to solve each problem.

1. Find and simplify the following derivatives:

a) The first derivative of f(x) = sqrt(5x) + sqrt(7/x)

b) The first derivative of f(x) = e^x + x^e + x^2 + e^2

c) Find the derivatives of f1(x) = e^(3x) , f2(x) = e^(x^2) , and f3(x) = e^(e^x). In a print statement, make a conjecture about the derivative of f(x) = e^g(x) based on these answers.