UP Board Class 11 Maths - Limits and Derivatives
In Class 11 Maths, the chapter Limits and Derivatives forms the foundation of calculus. Limits help us understand the behavior of a function as it approaches a particular point, including cases where the function is not defined. Key concepts include right-hand and left-hand limits, limit laws, and continuity of functions.
Derivatives represent the rate of change of a function with respect to a variable. They are essential in understanding motion, growth, and optimization problems. Students learn basic differentiation rules, including the power, product, quotient, and chain rules, along with derivatives of trigonometric, exponential, and logarithmic functions.
Mastering this chapter equips students with the skills to solve real-life problems involving rates of change and lays a strong foundation for advanced topics in calculus like integration and differential equations.