This math unit introduces students to basic derivative calculations and progressively deepens their understanding by exploring different rules and applications of calculus. It begins with the power rule for polynomial functions involving positive integer and negative integer powers with coefficients, gradually incorporating terms with fractional powers, both positive and negative. As students master the calculation of derivatives for these simpler forms, the unit guides them through using the sum rule for derivatives, which allows differentiation of algebraic expressions as the sum of their parts. Later, the focus expands to include the product rule, enabling students to differentiate functions expressed as products, addressing terms with negative and positive fractional exponents. Each stage of the unit builds on previous knowledge to reinforce understanding and application of fundamental derivative rules in various algebraic contexts, laying a solid foundation for more complex calculus studies.Skills you will learn include:
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