Web Reference: In this video, I show Grade 12 learners how to tackle a typical optimization question from the Calculus section of the exam paper. The document is a compilation of calculus exam questions for grade 12 students. It contains 7 multiple part questions covering optimization problems, related rates, and other calculus topics. The questions provide worked solutions and are intended to help students prepare for their final exam. Find the value of x x that makes the volume maximum. Solution to Problem 1: We first use the formula of the volume of a rectangular box. We now determine the domain of function V (x) V (x). All dimensions of the box must be positive or zero, hence the conditions. Let us now find the first derivative of V (x) V (x) using its last expression.
YouTube Excerpt: Optimisation Grade 12
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