https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:applications-of-derivatives/v/marginal-cost-and-marginal-revenue 2025-06-25T04:37:22.958747522Z सीमान्त लागत और सीमान्त आय In this video, we look at an application of derivatives in the world of Economics. We're given the equations for total cost and total revenue. We use differentiation to find the equations for marginal cost and marginal revenue. We then use these equations to find MC and MR at two points x = 2 and x = 3. Finally, we find a point where both these are euqal by solving a quadratic. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw सीमान्त लागत और सीमान्त आय In this video, we look at an application of derivatives in the world of Economics. We're given the equations for total cost and total revenue. We use differentiation to find the equations for marginal cost and marginal revenue. We then use these equations to find MC and MR at two points x = 2 and x = 3. Finally, we find a point where both these are euqal by solving a quadratic. https://cdn.kastatic.org/ka-youtube-converted/SF0a8V7XLPo.mp4/SF0a8V7XLPo.mp4 465 उच्चतम और निम्नतम (Maxima and minima) https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:applications-of-derivatives/e/recognize-maxima-and-minima 2026-04-08T08:46:38.570038857Z सापेक्षिक उच्चतम (relative maxima) एवं सापेक्षिक निम्नतम (relative minima): आलेखी एक फलन का आलेख दिया है, उसके सभी सापेक्षिक उच्चतम (relative maxima) और निम्नतम (relative minima) बिंदुओं को ज्ञात कीजिए। Tomer Gal exercise https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:application-of-derivatives-ncert-new/x7ce8ca9c5869750b:maxima-and-minima/v/minima-maxima-and-critical-points 2024-10-23T16:58:31.217736248Z क्रांतिक बिंदु का परिचय Sal introduces the "critical points" of a function and discusses their relationship with the extremum points of the function. Sal Khan video https://cdn.kastatic.org/googleusercontent/cNyjSNRO4B899fn5xEf9GM7-aQ9fVO6djpp0P2P5o0u4dZoHSC3t4tAdQc-2A5be4Tk1N0lEZzomesyrU6zMwb4 क्रांतिक बिंदु का परिचय Sal introduces the "critical points" of a function and discusses their relationship with the extremum points of the function. https://cdn.kastatic.org/ka-youtube-converted/YF0BVpp3j-8.mp4/YF0BVpp3j-8.mp4 473 उच्चतम और निम्नतम (Maxima and minima) https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:application-of-derivatives-ncert-new/x7ce8ca9c5869750b:maxima-and-minima/e/critical-numbers 2025-06-25T04:37:22.958747522Z सापेक्षिक उच्चतम (relative maxima) एवं सापेक्षिक निम्नतम (relative minima): बीजगणितीय बीजगणितीय रूप में दिए गए फलनों के सापेक्षिक निम्नतम और उच्चतम बिन्दु खोजने का अभ्यास कीजिए। Tomer Gal exercise https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:application-of-derivatives-ncert-new/x7ce8ca9c5869750b:maxima-and-minima/v/using-extreme-value-theorem 2024-11-05T09:15:21.090458066Z बंद अंतराल पर निरपेक्ष चरम ज्ञात करना (Finding absolute extrema on a closed interval) Sal finds the absolute maximum value of f(x)=8ln(x)-x² over the interval [1,4]. Sal Khan video https://cdn.kastatic.org/googleusercontent/3VhQ686JHyUz6bzg3YHt4B23wxQ-2uG82FXYU738tF9wVNXSHJjKk__Im54gZEYZcXqQS784Yfrm5LOgxEFmtlte बंद अंतराल पर निरपेक्ष चरम ज्ञात करना (Finding absolute extrema on a closed interval) Sal finds the absolute maximum value of f(x)=8ln(x)-x² over the interval [1,4]. https://cdn.kastatic.org/ka-youtube-converted/Pn98jqPcTAg.mp4/Pn98jqPcTAg.mp4 416 उच्चतम और निम्नतम (Maxima and minima) https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:applications-of-derivatives/e/recognize-absolute-maxima-and-minima 2026-04-08T08:46:38.570038857Z निरपेक्ष उच्चतम (maxima) और निम्नतम (minima) । एक फलन आलेख दिया गया है उसके निरपेक्ष उच्चतम (absolute maximum) और निम्नतम (minimum) बिंदुओं को ज्ञात कीजिए। Tomer Gal exercise https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:application-of-derivatives-ncert-new/x7ce8ca9c5869750b:maxima-and-minima/e/extreme-value-theorem 2025-06-25T04:37:22.958747522Z निरपेक्ष निम्नतम (minima) एवं उच्चतम (maxima) (संवृत अंतराल) संवृत अंतरालों पर संतत फलन के निरपेक्ष निम्नतम/उच्चतम बिन्दु ज्ञात कीजिए। Tomer Gal exercise https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:applications-of-derivatives/v/minimizing-sum-of-squares 2024-10-23T16:58:31.217736248Z इष्टतमीकरण: वर्गों का योग What is the minimum possible value of x^2+y^2 given that their product has to be fixed at xy = -16 Sal Khan video https://cdn.kastatic.org/googleusercontent/qR3tMjvmEk2InypIx4pUVFRUUG9wo8xnKfRnfTfIR25lx7bp76uxvDkQrtBPq6RoTJpe6bkVrtYXjkzSDLvNDul6 इष्टतमीकरण: वर्गों का योग What is the minimum possible value of x^2+y^2 given that their product has to be fixed at xy = -16 https://cdn.kastatic.org/ka-youtube-converted/4eYAtYWD40o.mp4/4eYAtYWD40o.mp4 455 उच्चतम और निम्नतम (Maxima and minima) https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:application-of-derivatives-ncert-new/x7ce8ca9c5869750b:maxima-and-minima/v/expression-for-combined-area-of-triangle-and-square 2025-02-03T14:15:17.690584852Z इष्टतमीकरण : त्रिभुज तथा वर्ग का क्षेत्रफल,भाग 1 (Optimization: Area of square and triangle, part 1) Sal constructs an equilateral triangle & a square whose bases are 100m together, such that their area is the smallest possible. Sal Khan video https://cdn.kastatic.org/googleusercontent/hHalx9IefU-yDPEqNBr4FZe5-B2q2BwjHRZS2CfNFPOqxhQeA6twhvhelo3R6BXj4TMvowT4FXE3dgCOrEprk1PqMQ इष्टतमीकरण : त्रिभुज तथा वर्ग का क्षेत्रफल,भाग 1 (Optimization: Area of square and triangle, part 1) Sal constructs an equilateral triangle & a square whose bases are 100m together, such that their area is the smallest possible. https://cdn.kastatic.org/ka-youtube-converted/u8s7uIpM_TE.mp4/u8s7uIpM_TE.mp4 379 उच्चतम और निम्नतम (Maxima and minima) https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:application-of-derivatives-ncert-new/x7ce8ca9c5869750b:maxima-and-minima/v/minimizing-combined-area 2025-02-03T14:15:17.690584852Z इष्टतमीकरण : त्रिभुज तथा वर्ग का क्षेत्रफल,भाग 2 (Optimization: Area of square and triangle, part 2) Sal constructs an equilateral triangle & a square whose bases are 100m together, such that their area is the smallest possible. Sal Khan video https://cdn.kastatic.org/googleusercontent/1JrZoM-djgaLMtvSLF_uh-vOSQnazq1q7HAkVsgYvlPnMzPS4REYMaAXobXTWz8kfavQro-JG-0JjltjWVaVWRF2_g इष्टतमीकरण : त्रिभुज तथा वर्ग का क्षेत्रफल,भाग 2 (Optimization: Area of square and triangle, part 2) Sal constructs an equilateral triangle & a square whose bases are 100m together, such that their area is the smallest possible. https://cdn.kastatic.org/ka-youtube-converted/eFmiBvBQCg8.mp4/eFmiBvBQCg8.mp4 331 उच्चतम और निम्नतम (Maxima and minima) https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:applications-of-derivatives/e/optimization 2026-04-08T08:46:38.570038857Z इष्टतमीकरण अपनी इष्टतमीकरण (optimization) क्षमताओं का अभ्यास करें! Tomer Gal exercise