Lec-14 | Applications of Derivatives-II | Calculus | Engineering Mathematics |#FMIH | Shailendra Sir

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๐…๐จ๐ฎ๐ง๐๐š๐ญ๐ข๐จ๐ง ๐ƒ๐š๐ฒ ๐Ž๐Ÿ๐Ÿ๐ž๐ซ ๐ข๐ง ๐‚๐จ๐ฎ๐ซ๐ฌ๐ž๐ฌ ๐š๐ง๐ ๐“๐ž๐ฌ๐ญ ๐’๐ž๐ซ๐ข๐ž๐ฌ ๐ข๐ฌ ๐ฏ๐š๐ฅ๐ข๐ ๐ญ๐ข๐ฅ๐ฅ ๐’๐ž๐ฉ๐ญ๐ž๐ฆ๐›๐ž๐ซ ๐ŸŽ๐Ÿ•, ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ’. ๐๐ž๐ฐ ๐๐ซ๐ข๐ฆ๐ž ๐‚๐จ๐ฎ๐ซ๐ฌ๐ž "๐’๐š๐ค๐ฌ๐ก๐š๐ฆ ๐๐š๐ญ๐œ๐ก" for GATE-25 in only ๐‘๐ฌ. ๐Ÿ’๐Ÿ—๐Ÿ—๐Ÿ—/- ๐’๐ฎ๐›๐ฌ๐œ๐ซ๐ข๐›๐ž ๐๐จ๐ฐ!!

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๐Ÿ”ด๐’๐š๐ค๐ฌ๐ก๐š๐ฆ ๐๐š๐ญ๐œ๐ก (๐๐ž๐ฐ ๐๐š๐ญ๐œ๐ก ๐ข๐ง ๐‘๐ฌ. ๐Ÿ’๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐†๐€๐“๐„-๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“ & ๐‘๐ฌ. ๐Ÿ”๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ“+๐Ÿ‘ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ–๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ—+๐Ÿ‘ ๐Œ๐จ๐ง๐ญ๐ก, ๐‘๐ฌ. ๐Ÿ๐Ÿ๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ๐Ÿ+๐Ÿ” ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ๐Ÿ“๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ๐Ÿ–+๐Ÿ” ๐Œ๐จ๐ง๐ญ๐ก) ๐Ÿ๐จ๐ซ ๐†๐€๐“๐„ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“/๐Ÿ๐Ÿ” ๐š๐ฌ๐ฉ๐ข๐ซ๐š๐ง๐ญ๐ฌ. ๐„๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ !!
โžค "๐‚๐ก๐ž๐ฆ๐ข๐œ๐š๐ฅ ๐“๐ž๐œ๐ก๐ง๐จ๐ฅ๐จ๐ ๐ฒ", "๐Œ๐š๐ฌ๐ฌ ๐ญ๐ซ๐š๐ง๐ฌ๐Ÿ๐ž๐ซ" ๐š๐ง๐ "๐„๐ง๐ ๐ข๐ง๐ž๐ž๐ซ๐ข๐ง๐  ๐Œ๐š๐ญ๐ก๐ž๐ฆ๐š๐ญ๐ข๐œ๐ฌ", are ๐ซ๐ฎ๐ง๐ง๐ข๐ง๐  ๐‹๐ข๐ฏ๐ž ๐ข๐ง ๐š๐ฅ๐ฅ ๐›๐š๐ญ๐œ๐ก๐ž๐ฌ at ๐Ÿ–:๐ŸŽ๐ŸŽ ๐€๐Œ, ๐Ÿ”:๐ŸŽ๐ŸŽ ๐๐Œ and ๐Ÿ—:๐ŸŽ๐ŸŽ ๐๐Œ respectively.
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๐Ÿ”ด ๐๐„๐„๐• ๐๐š๐ญ๐œ๐ก (๐’๐ฎ๐›๐ฃ๐ž๐œ๐ญ-๐ฐ๐ข๐ฌ๐ž ๐๐ฎ๐ง๐๐ฅ๐ž ๐‚๐จ๐ฎ๐ซ๐ฌ๐ž ๐Ÿ๐จ๐ซ ๐†๐€๐“๐„-๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“ ๐š๐ฌ๐ฉ๐ข๐ซ๐š๐ง๐ญ๐ฌ).
โžค ๐๐„๐„๐• ๐๐š๐ญ๐œ๐ก-๐ˆ (๐‡๐“, ๐Œ๐“, ๐ˆ๐๐‚, ๐๐ƒ๐„, ๐€๐ฉ๐ญ๐ข๐ญ๐ฎ๐๐ž) ๐ข๐ง ๐‘๐ฌ. ๐Ÿ๐Ÿ’๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ‘ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ‘๐Ÿ’๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ“ ๐Œ๐จ๐ง๐ญ๐ก) ๐Ÿ๐จ๐ซ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“/๐Ÿ๐Ÿ” ๐š๐ฌ๐ฉ๐ข๐ซ๐š๐ง๐ญ๐ฌ :
โžค ๐๐„๐„๐• ๐๐š๐ญ๐œ๐ก-๐ˆ๐ˆ (๐๐‚, ๐‚๐‘๐„, ๐…๐Œ, ๐Œ๐Ž & ๐‚๐ฅ๐š๐ฌ๐ฌ๐ข๐œ๐š๐ฅ ๐š๐ง๐ ๐’๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง ๐“๐ก๐ž๐ซ๐ฆ๐จ๐๐ฒ๐ง๐š๐ฆ๐ข๐œ๐ฌ) ๐ข๐ง ๐‘๐ฌ. ๐Ÿ๐Ÿ—๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ๐Ÿ’๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ‘ ๐Œ๐จ๐ง๐ญ๐ก & ๐‘๐ฌ. ๐Ÿ‘๐Ÿ’๐Ÿ—๐Ÿ—/- ๐Ÿ๐จ๐ซ ๐Ÿ“ ๐Œ๐จ๐ง๐ญ๐ก) ๐Ÿ๐จ๐ซ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“/๐Ÿ๐Ÿ” ๐š๐ฌ๐ฉ๐ข๐ซ๐š๐ง๐ญ๐ฌ.
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๐Ÿ”ด ๐€๐ง๐จ๐ญ๐ก๐ž๐ซ ๐๐š๐ญ๐œ๐ก ๐…๐จ๐ซ ๐†๐€๐“๐„ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ“ ๐š๐ง๐ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ” ๐’๐ญ๐ฎ๐๐ž๐ง๐ญ๐ฌ:
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CH 06 || 0:54:47

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Chp.2 Applications of 0:59:12

Chp.2 Applications of Derivatives Lec 22 | AARAMBH 2.0 Batch | HSC Board | Maharashtra | Dinesh Sir

Application of derivatives 0:15:17

Application of derivatives Lec 14

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LEC-14 || 2ND SEM MATHS-2 CRASH COURSE || APPLICATION OF DERIVATIVE || FULL OF TRICKS

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Application of Derivatives 0:00:07

Application of Derivatives : DPP 10 (Of Lec 14) || (Lakshya JEE 2023).pdf

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๐Ÿ”ด ๐†๐€๐“๐„ ๐“๐ซ๐ข๐ง๐ข๐ญ๐ฒ (๐‚๐ก๐ž๐ฆ๐ข๐œ๐š๐ฅ ๐„๐ง๐ ๐ข๐ง๐ž๐ž๐ซ๐ข๐ง๐ ) ๐ˆ๐ฆ๐ฉ๐จ๐ซ๐ญ๐š๐ง๐ญ ๐‹๐ข๐ง๐ค

โ–ถ ๐’๐ฎ๐›๐ฌ๐œ๐ซ๐ข๐›๐ž ๐˜๐จ๐ฎ๐“๐ฎ๐›๐ž ๐Ÿ๐จ๐ซ ๐š๐ฅ๐ฅ ๐ฎ๐ฉ๐๐š๐ญ๐ž๐ฌ & ๐‚๐จ๐ง๐ญ๐ž๐ง๐ญ๐ฌ:

๐Ÿ› ๐ƒ๐จ๐ฐ๐ง๐ฅ๐จ๐š๐ ๐€๐ง๐๐ซ๐จ๐ข๐ ๐€๐ฉ๐ฉ ๐Ÿ๐ซ๐จ๐ฆ ๐๐ฅ๐š๐ฒ-๐ฌ๐ญ๐จ๐ซ๐ž ๐š๐ง๐ ๐‘๐ž๐ ๐ข๐ฌ๐ญ๐ž๐ซ ๐ญ๐จ ๐ ๐ž๐ญ ๐Ÿ๐ซ๐ž๐ž ๐œ๐จ๐ง๐ญ๐ž๐ง๐ญ, ๐๐˜๐๐ฌ, ๐•๐š๐œ๐š๐ง๐œ๐ฒ ๐”๐ฉ๐๐š๐ญ๐ž๐ฌ ๐ž๐ญ๐œ...

๐Ÿ› ๐ƒ๐จ๐ฐ๐ง๐ฅ๐จ๐š๐ ๐–๐ข๐ง๐๐จ๐ฐ๐ฌ ๐€๐ฉ๐ฉ ๐ข๐ง ๐ฒ๐จ๐ฎ๐ซ ๐‹๐š๐ฉ๐ญ๐จ๐ฉ/๐๐‚ ๐š๐ง๐ ๐‘๐ž๐ ๐ข๐ฌ๐ญ๐ž๐ซ ๐ญ๐จ ๐ ๐ž๐ญ ๐Ÿ๐ซ๐ž๐ž ๐œ๐จ๐ง๐ญ๐ž๐ง๐ญ, ๐๐˜๐๐ฌ, ๐•๐š๐œ๐š๐ง๐œ๐ฒ ๐”๐ฉ๐๐š๐ญ๐ž๐ฌ ๐ž๐ญ๐œ...

๐ŸŒ ๐•๐ข๐ฌ๐ข๐ญ ๐–๐ž๐›๐ฌ๐ข๐ญ๐ž ๐Ÿ๐จ๐ซ ๐‚๐จ๐ฎ๐ซ๐ฌ๐ž, ๐†๐€๐“๐„ & ๐๐จ๐ง-๐†๐€๐“๐„ ๐“๐ž๐ฌ๐ญ ๐’๐ž๐ซ๐ข๐ž๐ฌ & ๐š๐ฅ๐ฅ ๐ฎ๐ฉ๐๐š๐ญ๐ž๐ฌ :

๐Ÿช€ ๐†๐€๐“๐„ ๐ญ๐ซ๐ข๐ง๐ข๐ญ๐ฒ ๐–๐ก๐š๐ญ๐ฌ๐€๐ฉ๐ฉ ๐‚๐ก๐š๐ง๐ง๐ž๐ฅ :
๐Ÿฅ ๐†๐€๐“๐„ ๐ญ๐ซ๐ข๐ง๐ข๐ญ๐ฒ ๐–๐ก๐š๐ญ๐ฌ๐€๐ฉ๐ฉ ๐†๐ซ๐จ๐ฎ๐ฉ :

๐Ÿ•Ž ๐†๐€๐“๐„ ๐ญ๐ซ๐ข๐ง๐ข๐ญ๐ฒ ๐“๐ž๐ฅ๐ž๐ ๐ซ๐š๐ฆ ๐‚๐ก๐š๐ง๐ง๐ž๐ฅ :
๐Ÿ” ๐†๐€๐“๐„ ๐ญ๐ซ๐ข๐ง๐ข๐ญ๐ฒ ๐“๐ž๐ฅ๐ž๐ ๐ซ๐š๐ฆ ๐†๐ซ๐จ๐ฎ๐ฉ :

#๐†๐€๐“๐„_๐ญ๐ซ๐ข๐ง๐ข๐ญ๐ฒ ๐Ÿ”ฅ
#๐…๐Œ๐ˆ๐‡ โคโคโค

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