Image will be in R but graph in R^3. As graph is collection of points of the form (x,y,f(x,y)).. see the below video th-cam.com/video/ZLq_FkcP75U/w-d-xo.html
Sir can you explain why are you calling partial derivative wrt x as in x direction? That tangent is in x-z plane and you are calling it in x direction.
Partial derivative wrt x at a particular point, say (a,b) is the slope of the tangent line. Tangent line passing through (a,b,f(a,b)). This tangent line is parallel to x axis. Indeed its in xz plane with some fix y.
Great explanation, thank you so much for your effort
@bedirhandd1317 thank you 😊
Wow sir apne bahut se samjhaya ye cheej hme visualise nahi ho pati thi ab mind mai image ban gyi thank you so much 😊
@aryadwivedi8971 very happy to know that..😊😊
🌺🙏🌺
explained reallly well ,especially the last part .thanks !
😊😊👍👍
Your teaching way is awesome
Thank you 😊
Thank you so much sir!
Welcome 😊
Thank you sir!!
Welcome :)
Sir i am not understand that how the graph of f is in R³ infact we define the function on R² to R according to that image of f will lie in R
Image will be in R but graph in R^3. As graph is collection of points of the form (x,y,f(x,y)).. see the below video
th-cam.com/video/ZLq_FkcP75U/w-d-xo.html
@@DrMathaholic thank you sir
Sir ap ek video differentiability from Rn to Rm. ki bhi bana do 🙏
Sir can you explain why are you calling partial derivative wrt x as in x direction? That tangent is in x-z plane and you are calling it in x direction.
Partial derivative wrt x at a particular point, say (a,b) is the slope of the tangent line. Tangent line passing through (a,b,f(a,b)). This tangent line is parallel to x axis. Indeed its in xz plane with some fix y.
Sir can i get more video on calculus of several variables
Any specific topic?? There is another Playlist on multiple integration..
th-cam.com/play/PLwaXU7G6Urbc0Yctvj9GKR9MwS5lpp_r8.html
@@DrMathaholic thank you sir