Derivative of exponential function 1. The problem statement, all variables and given/known data f(x) = 4^x + e^(2tanx) find f'(0) 2. Relevant equations I used log differentiation. y = 4^x + e^(2tanx) lny = xln4 + 2tanx(lne) = xln4 + 2tanx 3. The attempt at a solution y'/y = ln4 + 2sec^2(x) Solving for y I get y = 2. Plugging in x = 0 I get: y'/2 = ln4 +2sec^(0) = ln4 + 2(1) y' = 2(ln4+2) This however, isn't the answer.