Calculus
19 views
Skip to first unread message
Sarthak Tanwani
Sep 10, 2015, 1:16:31 PM9/10/15
to mathbus...@googlegroups.com
Greetings Sir Atul,
I request you to please explain me the graphical meaning or interpretation of differentiation of a function with respect to another function.
Thanks
Atul Nischal
Sep 10, 2015, 1:41:50 PM9/10/15
to MathBus...@googlegroups.com
Sarthak,
That's a good question. Here is what I can think of close to my bed time :-)
The geometric interpretation of the derivative is "slope" of a curve at a point.
Suppose y = f(x) is a function of x. Then, we can plot the graph of y and x. The slope of this graph is given by dy/dx.
Now, this slope is also a variable, say 'w'.
Now, suppose there is another function 'g(w)' that depends on 'w'. So, we can draw the graph of 'g' and w. In this graph, the horizontal axis will be 'w' and the vertical axis will be 'g'. Now, we can draw the g-w curve. The slope of this curve is the derivative of g w.r.t w.
Does that make sense? If not, let me know and I can elaborate.
Atul
____________________________________________________________
Dr. Atul Nischal
Managing Director, ECPL
___________________________________________________________________
--
Remember: The SOLUTION is always more important than the ANSWER.
[While posting replies to questions on the forum, please provide the solution and not just the answer.]
VISIT www.mathbuster.in and take full benefit of our eLearning programs.
---
You received this message because you are subscribed to the Google Groups "MathBuster Forum" group.
To unsubscribe from this group and stop receiving emails from it, send an email to MathBusterFor...@googlegroups.com.
To post to this group, send email to MathBus...@googlegroups.com.
Visit this group at http://groups.google.com/group/MathBusterForum.
To view this discussion on the web, visit https://groups.google.com/d/msgid/MathBusterForum/CAL6qMdy5zXMVpuyicYonJyZOG5%3Da7fxnvf2T15E91NOfynk8TA%40mail.gmail.com.
For more options, visit https://groups.google.com/d/optout.
Sarthak Tanwani
Sep 23, 2015, 6:52:01 AM9/23/15
to MathBus...@googlegroups.com
Thank you for the response Sir,
But we need to find the derivative of g w.r.t. f and not that of g w.r.t. w. Moreover I tried to find the derivative of log(x) w.r.t. e^x by sequentially going through the way you explained. But the answer is not actually matching with the correct result.
So can you pls elaborate once more because perhaps I've not understood what you are trying to say.
Thanks
To view this discussion on the web, visit https://groups.google.com/d/msgid/MathBusterForum/CAPcUNnvD-hs1CVigZm2kVfEAG3bgs7BH8jmc1LmG6gBTgySH%3Dg%40mail.gmail.com.
Atul Nischal
Sep 23, 2015, 7:00:09 AM9/23/15
to MathBus...@googlegroups.com
Hi Sarthak,
I will try to do a detailed explanation of this tonight and send you a link.
Atul
____________________________________________________________
Dr. Atul Nischal
Managing Director, ECPL
___________________________________________________________________
To view this discussion on the web, visit https://groups.google.com/d/msgid/MathBusterForum/CAL6qMdxyMeF_Qfh1H_z431OwcDFULxtbOT5hOGJ3V_dkgwLSOw%40mail.gmail.com.
Sarthak Tanwani
Sep 26, 2015, 2:52:20 PM9/26/15
to MathBus...@googlegroups.com
Greetings
Atul Sir,
I'm still waiting for your answer.
To view this discussion on the web, visit https://groups.google.com/d/msgid/MathBusterForum/CAPcUNnuzcZiHq7gDURX0mdE2NKO-xrDGeJ0%3DDWicAULahfM%2BZQ%40mail.gmail.com.
Atul Nischal
Sep 26, 2015, 5:25:26 PM9/26/15
to MathBus...@googlegroups.com
Sarthak
I will make sure you do not need to wait too long. I will share my thoughts on your query tomorrow.
Atul
____________________________________________________________
Dr. Atul Nischal
Managing Director, ECPL
___________________________________________________________________
To view this discussion on the web, visit https://groups.google.com/d/msgid/MathBusterForum/CAL6qMdy4Tys8rkVJ9tSOjPnKsMOTj-EEPc-FzcFqd3fB%3DTG6Og%40mail.gmail.com.
Sarthak Tanwani
Oct 3, 2015, 2:03:48 PM10/3/15
to MathBus...@googlegroups.com
Sir pls be fast
To view this discussion on the web, visit https://groups.google.com/d/msgid/MathBusterForum/CAPcUNnsAM9EmjT9tQNjynPZF-kxNN-kztwhxRVhvH%3DU_mthNEQ%40mail.gmail.com.
Reply all
Reply to author
Forward
0 new messages