Скачать или смотреть Exercise 5.2 Q.5 | Class 12 | Chapter . 5 Differentiation of vector functions | Class 12 Math

In this lecture, Sir Pharero from Concordia Garden, Karachi explains Exercise 5.2 Question 5 of Chapter 5: Differentiation of Vector Functions for Class 12 Mathematics (Sindh Board). This question focuses on calculating the **derivative of a vector function involving more complex scalar and vector combinations**, reinforcing the understanding of vector differentiation rules.

We start by revisiting the rules for differentiating vector functions, including **dot product, cross product, and scalar multiples**. I demonstrate step-by-step how to apply these rules to the given vector functions, differentiate each component, and simplify the final result. Students will learn how to handle mixed expressions carefully to avoid common mistakes.

The lecture also highlights practical applications, such as calculating *velocity, acceleration, and motion along curves* using vector derivatives. All explanations are given in Urdu/Hindi for students across Pakistan, India, Bangladesh, Nepal, and other Urdu/Hindi-speaking regions.

By mastering this question, students strengthen their foundation for solving advanced exercises in Chapter 5 and applying vector differentiation in real-life problems.