Derivative Rules - Product Rule Negative Powers (with Rule) to Derivative

This math topic focuses on applying the product rule to find the derivatives of functions that involve products of terms with negative powers of x. The problems specifically require students to find the derivatives of functions expressed as a product of two factors, where at least one factor involves a negative exponent. The derivatives are derived using the product rule, which involves using the derivatives of each individual factor in the product. This topic serves as an introductory exploration of derivative rules for products and is suited for students learning basic differentiation techniques in calculus.