Derivative Rules - Natural Exponential Exponent with Power (with Rule) to Derivative

This math topic focuses on applying derivative rules to functions involving natural exponential expressions. Specifically, it requires using the chain rule alongside the natural exponential rule to differentiate functions where the exponent itself is a function of \(x\). The problems presented aim to develop proficiency in managing more complex derivatives by combining these rules and understanding the nuances of derivative calculations for such expressions.