NCERT Class 12 Mathematics: Chapter 6 — Application of Derivatives

Chapter 6: Application of Derivatives is part of the official NCERT Mathematics curriculum for Class 12. Drawn from Mathematics Part I (book code lemh1), this chapter is part of the 2025-26 syllabus prescribed by CBSE and most state boards that follow NCERT.

The Class 12 CBSE board paper draws directly on chapters like this one. End-of-chapter exercises plus the NCERT Exemplar problem-set together cover the bulk of board-paper question patterns. Strong NCERT mastery for this chapter eliminates the need for commercial supplementary books for board preparation.

The official chapter PDF opens directly below — hot-linked from ncert.nic.in, no signups, no popups, no copy-restrictions. Per-chapter learning objectives, MCQs, important formulas and FAQ are in our editorial queue and land in subsequent batches.

Video lessons for this chapter

NCERT-aligned video lessons hosted on YouTube. Curated via the DIKSHA catalogue (Government of India, NCERT).

Find a school teaching NCERT Class 12 near you

GetSchoolsInfo's primary database covers 64,000+ Indian K-12 schools sourced from UDISE+ 2024-25. The cards below jump to city / metro search results filtered for CBSE-board schools (most of which follow NCERT).

How Mathematics builds across classes in NCERT

Class 11 Mathematics foundation. The chapters in Mathematics you studied at Class 11 are the prerequisites for this material. If you found any Class 11 chapter difficult, revisiting it briefly before tackling the higher-order topics here pays off — the conceptual chain matters more than memorisation.

CBSE Class 12 board year. This is your second-and-final pre-board OR board year for Mathematics. The board paper is built strictly off this NCERT book. End-of-chapter exercises plus NCERT Exemplar Problems together cover roughly 85 percent of board-paper question patterns — solving them end-to-end is the highest-leverage preparation activity.

Entrance exam mapping. Class 11 + Class 12 NCERT combined form the foundation of JEE Main / NEET-UG / CUET-UG 2026 syllabi for Mathematics. We maintain dedicated reconciliation pages: /ncert/deleted-syllabus-neet-2026, /ncert/deleted-syllabus-jee-2026, /ncert/deleted-syllabus-cuet-2026.

Use the navigation cards above to move to the adjacent class hub or subject hub — the cross-class continuity is intentional in the NCERT framework.

Three ways students and parents use this page

As a study reference. Bookmark it on your phone, share the URL with your child or study group, and refer back during the academic year. The page structure is intentionally stable — same hierarchy, same sources, same labels — so revisiting it weeks later doesn't require re-orienting yourself.

As a verification anchor. When a coaching brochure or third-party education site claims something about NCERT — what's in / what's out / what's coming — cross-check it here. Every claim on this page links back to the official NCERT, CBSE, or NTA source. If a third-party claim contradicts what's here, follow our source link first; we cite the canonical document.

As a navigation hub. Each page links up (to the parent class hub or NCERT root) and across (to adjacent chapters, subjects, or related deletion pages). The hierarchy is designed to support depth-first browsing — start broad, drill down, and pop back up. Use the breadcrumbs at the top of every page to navigate the hierarchy without losing context.

If you're a teacher or counsellor, this page is also designed to print cleanly to a single PDF — no popups, no distracting ads, no required logins.

Beyond NCERT — other free Government of India learning resources

NCERT is the canonical syllabus, but it isn't the only free educational resource the Indian government publishes. Each of the platforms below complements NCERT for a specific use case.

ePathshala (epathshala.nic.in) is the Ministry of Education's digital reader for NCERT books. It hosts the same PDFs as ncert.nic.in but with an enhanced flipbook interface that's easier to read on phones. Use it when you want a screen-friendly reading experience rather than a download. Note: ePathshala does not host any content not also available on ncert.nic.in — both are sourced from the same NCERT-published files.

DIKSHA (diksha.gov.in) is the Ministry of Education's video-and-interactive content platform. It curates chapter-aligned videos (some from NCERT's own YouTube channel, some third-party), interactive quizzes, and 'energised textbook' augmentations — QR codes inside printed NCERT books that link to DIKSHA media. Use DIKSHA when you want video reinforcement of a chapter you've already read; it's not a substitute for the textbook.

Swayam (swayam.gov.in) hosts MOOCs (massive open online courses) from IITs, IIMs, IISc, and other Indian institutions of national importance. Most courses target undergraduates, but some target Class 11-12 with dedicated CBSE-aligned content. Genuinely useful for self-driven Class 11-12 students; the certificates are NPTEL/UGC-recognised.

Swayam Prabha (swayamprabha.gov.in) is a 32-channel DTH education broadcast that runs 24×7. Schedules align with the academic year. Useful for students in low-connectivity areas where streaming video is unreliable.

NCERT Official YouTube (youtube.com/@NCERTOFFICIAL) hosts chapter-aligned video lessons authored by NCERT-empanelled teachers. Free, embeddable, and authoritative — these are the videos we curate on our chapter pages where available.

Editorial policy and how this page is maintained

Every NCERT-related page on GetSchoolsInfo is built from the same editorial policy, summarised here for transparency:

Source-of-truth. All chapter PDFs and rationalisation booklets are hot-linked directly to ncert.nic.in — the official Government of India publisher of NCERT content. We do not host PDFs on our own CDN, we do not redirect through ads, and we do not wrap NCERT links behind a registration wall. If NCERT issues a corrected or updated PDF, the link auto-refreshes from NCERT's CDN — you always get the latest version.

No commercial upsell. We do not sell or promote commercial guidebooks (RD Sharma, Lakhmir Singh, Together with..., Educart, Oswaal, Arihant). For CBSE board preparation, NCERT textbooks plus NCERT Exemplar Problems are sufficient; commercial books are supplementary at best. For JEE / NEET / CUET preparation, coaching modules add problem volume but are not a replacement for NCERT mastery.

Update cadence. Class-level and subject-level pages are reviewed annually before the academic year start (March-April). Chapter-level PDF link health is checked monthly via automated cron. The dateModified field at the bottom of every page reflects the most recent content edit; the inside cover of each NCERT PDF carries the print-edition year.

Verification. Every factual claim on this page can be cross-checked against the official NCERT rationalisation booklet (BookletClass{N}.pdf on ncert.nic.in), the latest CBSE Sample Paper PDF (cbseacademic.nic.in), or the relevant NTA bulletin (NEET/JEE/CUET 2026 syllabus documents). Disagreements between NCERT and NTA are explicitly flagged via our deleted-syllabus reconciliation pages — we do not paper over the gap.

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