Exercise 2.1
Exercise 2.2
Exercise 2.3
Exercise 2.4
Exercise 2.5
Exercise 2.6
Exercise 2.7
Exercise 2.8
Exercise 2.9
Exercise 2.10
MCQ’s
Class 12th Math Unit 2 – “Differentiation” focuses on the concept of derivatives and their applications in calculus. Key topics typically covered in this unit include:
- Definition of Differentiation: Understanding differentiation as the process of finding the derivative of a function, which represents the rate of change of the function with respect to a variable.
- Geometric Interpretation: Exploring the geometric meaning of the derivative as the slope of the tangent line to the curve of a function at a given point.
- Basic Differentiation Rules: Introduction to fundamental rules of differentiation, including the power rule, product rule, quotient rule, and chain rule.
- Derivatives of Standard Functions: Learning how to differentiate standard functions, such as polynomial, trigonometric, exponential, and logarithmic functions.
- Higher-Order Derivatives: Understanding the concept of higher-order derivatives and their significance in analyzing the behavior of functions.
- Applications of Differentiation: Exploring real-world applications of derivatives, including finding maxima and minima, optimization problems, and motion analysis.
- Implicit Differentiation: Introduction to implicit differentiation for functions that cannot be expressed explicitly in terms of one variable.
- Differentiability and Continuity: Discussion on the relationship between differentiability and continuity, including the conditions under which a function is differentiable.
This unit builds a strong foundation for understanding calculus concepts and provides essential tools for analyzing and solving mathematical problems related to change and motion. If you need more specific details or additional topics, feel free to ask!