Calculus
Differentiation: definition and basic derivative rules
- Defining average and instantaneous rates of change at a point
- Defining the derivative of a function and using derivative notation
- Estimating derivatives of a function at a point
- Connecting differentiability and continuity: determining when derivatives do and do not exist
- Applying the power rule
- Derivative rules: constant, sum, difference, and constant multiple: introduction
- Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule
- Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x)
- The product rule
- The quotient rule
- Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions
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Calculus · series session
Differentiation: definition and basic derivative rules
Higher-Order Derivatives: Analyze second and higher-order derivatives to understand acceleration, concavity, and other advanced concepts.
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Calculus · series session
Differentiation: definition and basic derivative rules
Applications of Differentiation: Apply differentiation to real-world problems, including optimization, related rates, and curve sketching.
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Calculus · series session
Differentiation: definition and basic derivative rules
Differentiation Review and Problem Solving: Reinforce all differentiation techniques and tackle a wide range of challenging problems in a final review session.
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