Study Chapter Details
UP Board Class 12 Mathematics – Applications of Derivatives
The chapter Applications of Derivatives (AOD) helps students understand how derivatives are used in real-life situations and mathematical problem-solving. After learning how to differentiate functions, this chapter focuses on applying those derivatives to study the behavior of functions. Students explore important concepts such as rate of change, which helps measure how one quantity varies with respect to another, commonly used in physics and economics.
Another major topic is increasing and decreasing functions, where derivatives help determine whether a function rises or falls at a particular interval. Students also learn about maxima and minima, which are essential for solving optimization problems—finding the highest profit, minimum cost, shortest distance, etc. The chapter further explains tangents and normals, helping students understand slope and geometrical interpretation of derivatives.
Applications of Derivatives strengthen analytical skills and are extremely useful in board exams, JEE, and other competitive exams. With practice, students can master problem-solving techniques involving real-world mathematical applications.
