Calculus through Data & Modeling: Differentiation Rules

Calculus through Data & Modeling: Differentiation Rules continues the study of differentiable calculus by developing new rules for finding derivatives without having to use the limit definition directly. These differentiation rules will enable the calculation of rates of change with relative ease the derivatives of polynomials, rational functions, algebraic functions, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions. Once these rules are developed, they are then applied to solve problems involving rates of change and the approximation of functions

• Apply new differentiation rules to compute derivatives
• Find derivatives of various functions easily
• Solve problems related to rates of change
• Estimate multivariable functions using differentiation rules
• Understand applications of differentiation in modeling and data analysis

• Basic familiarity with the topic and its common terminology
• Readiness to practice through applied exercises or case-based work