# How do you find the derivative of y= ln(1 + e^(2x))?

You can use the Chain Rule to derive $\ln$ first (as it is) and then multiply by the derivative of the argument as:
$y ' = \frac{1}{1 + {e}^{2 x}} \cdot 2 {e}^{2 x} = \frac{2 {e}^{2 x}}{1 + {e}^{2 x}}$