https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:continuity-and-differentiability-ncert-new/x7ce8ca9c5869750b:exponential-and-logarithmic-functions/v/exponential-growth-functions 2024-10-23T16:58:31.217736248Z चरघातांकी फलन का परिचय An exponential function represents the relationship between an input and output, where we use repeated multiplication on an initial value to get the output for any given input. Exponential functions can grow or decay very quickly. Exponential functions are often used to model things in the real world, such as populations, radioactive materials, and compound interest. Sal Khan video https://cdn.kastatic.org/googleusercontent/MOdCeqFGlDqk69XEhUqpMPoJA42wLRt7GwZjEAthvS_AxHPH0ieVuA4DqeI3ImMs5u7K5aCZdV6MCqKxXrs-d4g चरघातांकी फलन का परिचय An exponential function represents the relationship between an input and output, where we use repeated multiplication on an initial value to get the output for any given input. Exponential functions can grow or decay very quickly. Exponential functions are often used to model things in the real world, such as populations, radioactive materials, and compound interest. https://cdn.kastatic.org/ka-youtube-converted/lS4TMX5Jgj8.mp4/lS4TMX5Jgj8.mp4 461 चरघातांकी और लघुगणकीय फलन https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:continuity-and-differentiability-ncert-new/x7ce8ca9c5869750b:exponential-and-logarithmic-functions/e/graphs-of-exponential-functions 2025-06-25T04:37:22.958747522Z चरघातांकी फलन (exponential function) के आलेख चरघातांकी फलनों का आलेख खींचिए और दिए गए फलन के लिए उचित आलेख ज्ञात करें। Tomer Gal exercise https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:continuity-and-differentiability/v/logarithms 2020-11-13T15:17:42Z लघुगणक का परिचय Sal explains what logarithms are and gives a few examples of finding logarithms. Sal Khan video https://cdn.kastatic.org/googleusercontent/_RkZoOHKtmVk5F8_teMl8HJnKuYpGcFOUu9QgleddEiix-1mZsZf4T2CRlqmZLeq2jmOuybi1N6RCIMjkLHMTO8png लघुगणक का परिचय Sal explains what logarithms are and gives a few examples of finding logarithms. https://cdn.kastatic.org/ka-youtube-converted/EcNkKBSo4BI.mp4/EcNkKBSo4BI.mp4 422 चरघातांकी और लघुगणकीय फलन https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:continuity-and-differentiability-ncert-new/x7ce8ca9c5869750b:exponential-and-logarithmic-functions/v/introduction-to-logarithm-properties 2020-11-13T15:17:42Z लघुगणक के गुणधर्म 1 Sal introduces the logarithm identities for addition and subtraction of logarithms. Sal Khan video https://cdn.kastatic.org/googleusercontent/nzxy-IVnxWaW853loCOsr_TO6wouI3i0a4bHGL0q5bb_5-zRXhbax5LHz-9nuvkjyGKSZNxiidIs2_1ODvT7ocFl लघुगणक के गुणधर्म 1 Sal introduces the logarithm identities for addition and subtraction of logarithms. https://cdn.kastatic.org/ka-youtube-converted/uSOiFyV3UTQ.mp4/uSOiFyV3UTQ.mp4 556 चरघातांकी और लघुगणकीय फलन https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:continuity-and-differentiability-ncert-new/x7ce8ca9c5869750b:exponential-and-logarithmic-functions/v/introduction-to-logarithm-properties-part-2 2020-11-13T15:17:42Z लघुगणक के गुणधर्म 2 Sal introduces the logarithm identities for multiplication of logarithm by a constant, and the change of base rule. Sal Khan video https://cdn.kastatic.org/googleusercontent/oldCPdfzyfwKtz0lxMji9ZEt-Nau-FEnKaRQWr6BpDyEgcuA17Km-UJApBrtIFhWDW8N6ou6moT-zWtsO7Q0Jcek लघुगणक के गुणधर्म 2 Sal introduces the logarithm identities for multiplication of logarithm by a constant, and the change of base rule. https://cdn.kastatic.org/ka-youtube-converted/9AQ0SO9UkF4.mp4/9AQ0SO9UkF4.mp4 604 चरघातांकी और लघुगणकीय फलन https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:continuity-and-differentiability-ncert-new/x7ce8ca9c5869750b:exponential-and-logarithmic-functions/e/understanding-logs-as-inverse-exponentials 2025-09-11T09:06:04.832032753Z चरघातांकों (exponentials) और लघुगणकों (logarithms) के बीच संबंध a^x=b और log_a(b)=x के मध्य संबंध पर केन्द्रित विभिन्न प्रश्नों को हल करें। Stacy Beaudoin exercise https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:continuity-and-differentiability-ncert-new/x7ce8ca9c5869750b:exponential-and-logarithmic-functions/e/graphs-of-exponentials-and-logarithms 2025-06-25T04:37:22.958747522Z उदाहरण: लघुगणकीय फलनों के आलेख लघुगणकीय फलनों के आलेख और दिए गए फलन के लिए उचित आलेख ज्ञात करें। Tomer Gal exercise https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:continuity-and-differentiability/e/logarithms_2 2025-12-22T09:04:18.606529448Z लघुगणक (logarithms) के गुणधर्मों का प्रयोग करना दिए गए व्यंजक (expression) को एक समकक्ष व भिन्न रूप में पुनः लिखने के लिए लघुगणक (logarithms) के गुणधर्मों का उपयोग करना। Rob Yates exercise https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:continuity-and-differentiability-ncert-new/x7ce8ca9c5869750b:exponential-and-logarithmic-functions/e/rewrite-logarithmic-expressions-using-the-change-of-base-rule 2025-06-25T04:37:22.958747522Z लघुगणक (logarithm) के आधार परिवर्तन के नियम (change of base rule) का उपयोग करना दिए गए लघुगणकीय व्यंजक (logarithmic expression) के समकक्ष लघुगणकीय चर व्यंजक (logarithmic variable expression) ज्ञात करें। Stacy Beaudoin exercise https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:continuity-and-differentiability/v/derivative-of-ex 2024-10-23T16:58:31.217736248Z 𝑒ˣ का अवकलज Discover the fascinating property of the derivative of 𝑒ˣ, which remains 𝑒ˣ after differentiation. This unique characteristic is central to our understanding and exploration of exponential functions, showcasing the remarkable nature of the number 𝑒. video https://cdn.kastatic.org/ka_thumbnails_cache/394d681d-e39a-4cd2-90fa-26c4a7aa1e6e_1280_720_base.png 𝑒ˣ का अवकलज Discover the fascinating property of the derivative of 𝑒ˣ, which remains 𝑒ˣ after differentiation. This unique characteristic is central to our understanding and exploration of exponential functions, showcasing the remarkable nature of the number 𝑒. https://cdn.kastatic.org/ka-youtube-converted/MuPVelZf9HQ.mp4/MuPVelZf9HQ.mp4 182 चरघातांकी और लघुगणकीय फलन https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:continuity-and-differentiability-ncert-new/x7ce8ca9c5869750b:exponential-and-logarithmic-functions/v/logarithmic-functions-differentiation-intro 2024-10-23T16:58:31.217736248Z logₐx का अवकलज (किसी धनात्मक आधार a पर जो १ के बराबर नहीं) Now let's look into the fascinating world of logarithms, exploring how to find the derivative of logₐx for any positive base a≠1. Leveraging the derivative of ln(x) and the change of base rule, we successfully differentiate log₇x and -3log_π(x). Join us on this mathematical journey! video https://cdn.kastatic.org/ka_thumbnails_cache/5b780056-99a3-422f-8206-61ea0fd486af_1280_720_base.png logₐx का अवकलज (किसी धनात्मक आधार a पर जो १ के बराबर नहीं) Now let's look into the fascinating world of logarithms, exploring how to find the derivative of logₐx for any positive base a≠1. Leveraging the derivative of ln(x) and the change of base rule, we successfully differentiate log₇x and -3log_π(x). Join us on this mathematical journey! https://cdn.kastatic.org/ka-youtube-converted/Ob6taOaF7js.mp4/Ob6taOaF7js.mp4 288 चरघातांकी और लघुगणकीय फलन https://hi.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:continuity-and-differentiability/e/working-on-exponential-and-logarithmic-functions 2026-04-08T08:46:38.570038857Z चरघातांकी (exponential) और लघुगणकीय (logarithmic) फलन पर कार्य करते हैं। इस अभ्यास में हम चरघातांकी (exponential) और लघुगणकीय (logarithmic) फलनों से संबंधित प्रश्नों को हल करेंगे। Devashish Phadnis exercise