Derivative Rules - Intro

This math unit progresses students from foundational to advanced differentiation techniques. Initially, learners master the sum rule by finding derivatives of polynomials with both positive and negative powers, including those represented as division. It then advances to handling negative fractional powers, gradually increasing complexity by introducing these powers as radicals. The unit shifts to the product rule, expanding the scope from positive powers to negative and fractional powers treated as divisions and radicals, enhancing skills in differentiating products of functions with complex exponent forms. Later, students practice the quotient rule for negative and positive fractional powers, dealing with complex expressions involving ratios of functions. This systematic progression not only instills a thorough understanding of derivative computation across various function forms but also scaffolds learning from simpler polynomial functions to complex algebraic expressions involving product and quotient rules.Skills you will learn include:

• The sum rule
• The product rule
• The quotient rule
• Differentiating sums, products, and quotients of power functions