Differentiation in Mathematical Methods VCE

This topic explores rates of change, derivative rules, and applications in optimization and motion problems.

Content Covered

• First principles differentiation: Understanding the definition of derivatives

• Derivative rules: Power rule, product rule, quotient rule, and chain rule

• Applications: Tangents, normals, and optimization problems

• Higher-order derivatives: Second derivatives and concavity

• Graphical interpretation: Understanding slopes and turning points

Main Topics Assessed

• Applying differentiation rules to find derivatives

• Solving optimization problems using calculus

• Analyzing functions using first and second derivatives

• Understanding real-world applications of differentiation