Basic Derivatives - Negative Integer Power with Coefficient (with Rule) to Derivative

This math topic focuses on applying the power rule to find derivatives of functions with negative integer powers multiplied by coefficients. It helps develop skills needed to differentiate functions expressed in the form \( f(x) = ax^n \), specifically when \( n \) is a negative integer. This fundamental calculus concept allows students to practice computing derivatives directly through the power rule formula. Each problem requires deriving the formula \( f'(x) = an x^{n-1} \) where \( a \) represents the coefficient and \( n \) represents the power term of the variable \( x \).