Top 4 Videos on Application of Derivatives for Class 12 Applied Maths by PW

Application of Derivatives involves more than finding the derivative of a function. You also need to interpret what the derivative tells you about changing quantities, determine where a function increases or decreases, and apply derivative tests to find maxima and minima. Commerce-based problems involving cost, revenue and profit add another layer, as you must translate a situation into a mathematical expression before solving it.

The following PW Class 12 Commerce Wallah videos cover these concepts through detailed explanations, worked examples, and board-focused practice. You can use them to revise the main methods, understand how they apply to different question types, and prepare for your Class 12 Applied Maths examination.

Video 1: Revise Application of Derivatives with Commerce Problems and Board Questions

This one-shot lesson covers the main concepts of Application of Derivatives, beginning with derivatives and rates of change. It then explains tangents and normals, increasing and decreasing functions, and local and absolute extrema using standard derivative tests.

Commerce-based applications involving cost, revenue, and profit help you connect mathematical concepts with practical problems. The session also includes optimisation questions, previous-year board questions, and a final chapter recap.

Use this video when you need to revise the chapter as a whole before attempting board questions. Pay particular attention to how the derivative is applied in commerce problems and how different tests are used to identify extrema. Practising the demonstrated questions independently can help you recall the correct method and improve your accuracy.

Video 2: Understand Core Concepts with NCERT-Based Application of Derivatives Practice

If you want to revise the major concepts in one session, this NCERT-based lesson covers rates of change, numerical applications, and commerce-related examples. It connects marginal revenue and marginal cost with derivative concepts before moving to increasing and decreasing functions, tangents, normals, critical points, and local extrema.

The lesson also explains first- and second-derivative tests, optimisation and absolute extrema.

This video is useful when preparing for NCERT exercises and board-level questions. Focus on understanding when to use each derivative test and how the conditions affect the solution.

After watching, practise questions involving function behaviour and extrema without referring to the video. This will help you check your understanding and identify the methods that need more revision.

Video 3: Practise Application of Derivatives with Previous-Year Questions

Working through different question types can help you understand how Application of Derivatives is tested in examinations. This lesson covers rates of change through examples involving a circle, an equilateral triangle, an inverted cone and a kite string.

It then explores increasing and decreasing functions using logarithmic, quadratic, cubic, exponential, trigonometric and power functions. Interval analysis, proof-based questions, and board-style practice are also included, followed by an introduction to maxima and minima.

Use this lesson when you want to strengthen your problem-solving skills through varied examples. Pay attention to how the function and its interval affect the solution, and check the conditions before drawing conclusions.

This practice can help you become more comfortable with unfamiliar questions and apply derivative concepts accurately during timed revision.

Video 4: Learn Application of Derivatives Step by Step with Detailed Explanations

Some Application of Derivatives questions require you to combine several steps, from finding a derivative to interpreting the result. This detailed lesson covers rates of change, increasing and decreasing intervals, critical and stationary points, and trigonometric applications.

It also explains tangents and normals, maxima and minima, first- and second-derivative tests, absolute extrema, and optimisation word problems.

Choose this lesson if you need a more detailed explanation before moving to mixed practice. Work through the examples carefully and note the conditions used at each stage, especially when identifying intervals or determining extrema.

Revisiting the Class 12 relevant sections can help you strengthen your understanding and solve board-level questions with greater confidence.

PW’s Application of Derivatives videos help you revise rates of change, function behaviour, tangents, normals, maxima, minima and optimisation. Start with a chapter revision lesson, strengthen your understanding through detailed explanations and then practise NCERT-based and previous-year questions.

Consistent practice can improve your accuracy and prepare you more effectively for your Class 12 Applied Maths board examination.