हमने आप के लिए पसीना बहाया अब आप की बारी | Del operator (∇): Its Application Uses | Gradient

हमने आप के लिए पसीना बहाया, अब आप की बारी Del operator (∇): Its Application Uses | Gradient lect-10 Dell operator: Gradient (Grad V= ∇ V) The del operator (∇) is generally practiced in vector calculus to obtain derivatives in higher dimensions. ∇⋅∇f=∇^2f : divergence of the gradient, too identified as the Laplacian ∇⋅∇F=∇^2F : vector Laplacian, equal to the Laplacian of each component of the vector ∇×∇f=0 : curl of the gradient, always equal to 0 ∇(∇⋅F) : Gradient of the divergence ∇⋅(∇×F)=0 : divergence of curl, always equal to 0 ∇×(∇×F)=∇(∇⋅F)−∇^2F : The curl of the curl Awill guru is an educational channel in multidimensional field technical AND non-technical BOTH ********************** Buy Best EMFT Book: https://amzn.to/2SvGInH O-level Books: https://amzn.to/3iqh0Md MCQ for NIC 4000+ Objective Topic Wise Questions for Scientist B And Scientific and Technical Assistant A: https://amzn.to/2SqhSpm Buy the best competitive books: https://amzn.to/3jsrWu4 What we use to make your lectures great: Boya BYM1 Omnidirectional Mic: https://amzn.to/30xNyxv Camera: https://amzn.to/3l4Ug5Y Light: https://amzn.to/3iyhTSF Board: https://amzn.to/33ulCwt Marker: https://amzn.to/3jxjGsO Rendering PC: https://amzn.to/3ipkOwZ Laptop to save videos: https://amzn.to/33rTAS5 Mouse: https://amzn.to/3cYGHSF Keyboard: https://amzn.to/3iqJQff Chair: https://amzn.to/2SoUhFB Desk: https://amzn.to/2F2vBzM Software: https://amzn.to/2GCRF49 Digital writing pad: https://amzn.to/3iqJuoV JOIN UPSC UPPSC TELEGRAM CHANNEL: https://t.me/upsciascivilservices JOIN TELEGRAM GROUP: https://t.me/awillguruji JOIN FACEBOOK GROUP:   / 2016778485259225   Visit for Downloads : awill guru website: https://www.awillguru.com https://uppscroaroexam.com Awill guru is an educational channel in the multidimensional field (technical+non technical) for students, teachers and professionals Follow me on: Instagram account:   / awillguru   facebook page:   / awill-guru-education-123259598323651   subscribe:    / @awillguru   Twitter account:   / awillguru   LinkedIn:   / awillguru   tumbler:   / awillguru   thanks for watching