𝐏𝐫𝐨𝐨𝐟 𝐨𝐟 𝐝[𝐞^{𝐱}]/𝐝𝐱=𝐞^{𝐱} | 𝐅𝐢𝐫𝐬𝐭 𝐏𝐫𝐢𝐧𝐜𝐢𝐩𝐥𝐞 | 𝐂𝐚𝐥𝐜𝐮𝐥𝐮𝐬 𝐁𝐚𝐬𝐢𝐜𝐬

In this video, I derive the proof of d[e^{x}]/dx=e^{x} from the first principle. This has an interesting result that the function remains unchanged upon taking the derivative. Graphically, it means that the curve of derivative lies exactly on the curve of original function. Such a wonderful result.and very handy in daily tasks involving calculus.

#bhutan #dailyconcepts #mathematics #calculus
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Links(my other videos and blog):

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Previous Videos:
Standard Model of particles:    • 𝐓𝐡𝐞 𝐒𝐭𝐚𝐧𝐝𝐚𝐫𝐝 𝐌𝐨𝐝𝐞𝐥 𝐨𝐟 𝐏𝐚𝐫𝐭𝐢𝐜𝐥𝐞𝐬 | 𝐍𝐨 ...  

CMB:    • 𝐂𝐎𝐒𝐌𝐈𝐂 𝐌𝐈𝐂𝐑𝐎𝐖𝐀𝐕𝐄 𝐁𝐀𝐂𝐊𝐆𝐑𝐎𝐔𝐍𝐃 | 𝐂𝐨𝐬𝐦𝐢𝐜 ...  

Facts about Universe:    • 𝐅𝐚𝐜𝐭𝐬 𝐚𝐛𝐨𝐮𝐭 𝐔𝐧𝐢𝐯𝐞𝐫𝐬𝐞 | 𝐍𝐨 𝐌𝐚𝐭𝐡 | 𝐅𝐮𝐧𝐝...  

Bjuchu Thangka Dema:    • [𝐒𝐩𝐞𝐜𝐢𝐚𝐥 𝐔𝐩𝐥𝐨𝐚𝐝] 𝐁𝐣𝐮𝐜𝐡𝐮 𝐓𝐡𝐚𝐧𝐠𝐤𝐚 𝐃𝐞𝐦𝐚 ...  
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0:00 Introduction
0:33 Intro to e^{x}
00:59 Introduction to Euler's Number
01:28 Graphical explanation of taking a derivative
02:46 Proving from first principle
04:00 Explanation of exponential rule
05:25 Important results of limits concerning e.
09:20 Final result
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