Mathematics

The key here is the chain rule for exponential functions. When you differentiate $e^{u(x)}$, you get $e^{u(x)} \cdot u'(x)$—the exponential stays, but you multiply by the derivative of the exponent. Once you have the derivative formula, evaluating at $x=1$ is just substitution.

The key here is the chain rule for exponential functions. When you differentiate $e^{u(x)}$, you get $e^{u(x)} \cdot u'(x)$—the exponential stays, but you multiply by the derivative of the exponent. Once you have the derivative formula, evaluating at $x=1$ is just substitution.