IB Maths AA SL 5.3 - The Power Rule

This IB Maths AA SL Topic SL 5.3 – The Power Rule resource introduces students to differentiating functions of the form (f(x)=x^n). It begins with the definition of a derivative and develops the power rule, including an optional proof using binomial expansion. Students then apply the rule to individual terms and extend it to differentiate polynomial functions by treating each term separately.

The lesson includes practice finding derivative functions and evaluating gradients at specific points. Students also connect differentiation to graphical behaviour by sketching a polynomial, finding its derivative, and determining where the function is increasing, decreasing, or constant. Clear explanations, worked examples, and fully worked solutions help students build confidence with this essential differentiation technique.