Top Videos on Continuity and Differentiability for Class 12 Applied Mathematics by PW

In Continuity and Differentiability, knowing a formula is not always enough to solve a question. You may need to compare left-hand and right-hand limits, check continuity at a point, or choose between the chain rule, implicit differentiation, and logarithmic differentiation. Questions involving parameters and applications of derivatives require you to apply these concepts carefully.

PW offers three videos in PW Class 12 Commerce Wallah to help you work through these topics. You can revise NCERT concepts and previous-year questions, review the full chapter in one session, or practise application-based problems.

Choose the lesson that matches your preparation level and use written practice to strengthen your understanding before the Class 12 Applied Mathematics board exams.

Video 1: Build Your Foundation with NCERT Concepts and PYQs

This revision video for Class 12 Applied Maths covers limits, left-hand and right-hand limits, continuity at a point, and continuity-based questions before moving to differentiability. It includes derivatives of algebraic and trigonometric functions, the chain rule, implicit and parametric differentiation, logarithmic methods, series, nested exponential functions, and second-order derivatives.

Application-based questions, proofs, NCERT concepts, and Class 12 previous-year questions provide practice for CBSE board examinations.

Use this video when you want to revise the chapter through a mix of concepts and exam questions. Pay attention to how each differentiation method is applied, particularly in questions involving composite functions and parameters.

After watching an example, solve a similar question independently to check whether you can select the correct method and show the steps accurately.

Video 2: Revise the Full Chapter with a One-Shot Video

This one-shot video revises Continuity and Differentiability across NCERT Exercises 5.1 to 5.7. It covers continuity, graphs, continuous and discontinuous functions, limits and function values, followed by the meaning of derivatives and differentiation rules.

Topics include chain and product rules, trigonometric and inverse trigonometric functions, implicit differentiation, exponential and logarithmic functions, parametric differentiation, and higher-order derivatives. Solved examples support chapter revision and board preparation.

Choose this video when you need to revisit the entire chapter before a test or board examination. Use the exercise-wise coverage to identify topics that need more practice. If you struggle with a particular rule, pause the lesson and solve a few related questions before moving to the next topic.

Video 3: Practise Application-Based Questions with Derivatives

This session combines Continuity and Differentiability with Applications of Derivatives. It covers continuity examples, parameter-based questions, differentiability checks, implicit and logarithmic differentiation, second-order derivatives, and selected applications.

Practice problems include related rates involving spheres, ladders, shadows, and tanks, along with increasing and decreasing functions, maxima, minima, inflection points, marginal revenue, and marginal cost. Board-oriented and expected questions provide further problem-solving practice.

Watch this video after revising the basic concepts, especially if you want to practise applying differentiation to different situations. The variety of questions helps you work on choosing suitable methods and following the correct steps.

Attempt each problem before viewing its solution, and review any errors to improve your accuracy in written examinations.

How These Videos Help in Continuity and Differentiability Preparation

Each video supports a different part of your revision:

• For concept revision and PYQs: Start with the first lesson to review limits, continuity, differentiation rules, and previous-year questions.

• For full-chapter revision: Use the one-shot video to revisit NCERT exercises and important differentiation methods.

• For application-based practice: Watch the third session to work on related rates, maxima and minima, and other derivative-based problems.

After watching the videos, practise questions on your own rather than relying only on solved examples. Revise the conditions for continuity and differentiability, learn when to apply each differentiation rule, and keep track of the questions you get wrong. You can also explore PW’s Class 12 Applied Mathematics resources for further revision and exam preparation.