IB Maths AA SL 5.6 - More Derivative Rules

This IB Maths AA SL Topic SL 5.6 – More Derivative Rules resource develops students’ ability to differentiate trigonometric, exponential, and logarithmic functions. It introduces the derivatives of sin(x), cos(x), tan(x), ln(x), and exponential functions, with optional proofs for students interested in the underlying calculus. Students also learn how to apply the product rule, quotient rule, and chain rule to more complex functions.

The lesson includes worked examples requiring students to find derivative functions and evaluate derivatives at specific points before applying differentiation to related-rates problems. A clear step-by-step method guides students through defining variables, forming an equation, differentiating both sides with respect to time, substituting known values, and solving for the required rate. Fully worked solutions and an applied spherical-balloon problem help students consolidate these essential differentiation techniques.