+Anil Kumar Well cube root of a number gives 3 values. And also cube root of a negative number may be real and complex. For example cube root of -8 = −2−2, 1+i3√1+i3 and 1−i3√1−i3 . And so it depends on to which plot you are doing, i.e. for real values or complex values. I presume that you are plotting in real domain and hence your analogy is right. −−−√−−−√
+vivek sharma Vivek, you are absolutely right. In this list, we are working in the domain of real numbers. We have different set of videos for complex numbers, which are limited to quadratic functions only. Thanks
Thanks for the excellent question. This parabola opens to the right. Derivative is undefined at the vertex. So it is not differentiable. Y-axis is tangent at the vertex. Hope that helps.
In the first diagram, f(x)=|x| , Is the line x=0 also tangent at (0,0) ? Please tell with reason. The question whether tangents can be inside the figure as well in case of a non differentiable point.
+MrCuteguylol Thanks. It is a very important concept. I have few videos which you can check. th-cam.com/video/YCQN_PqmRCw/w-d-xo.html th-cam.com/video/xXPTmnVAem8/w-d-xo.html
Your voice is excellent sir ,so the explanation
Watching it before the quiz an hour later, it'll surely help, thanks :)
Thanks and All the Best!
sir for tangent line the line will touch or passing through single point of a curve. please sir explain it
Sir could u please elaborate on cusp , radical roots ,why the function is not differetiable
Appreciate the timely explanation, I didn't understand the meaning when my professor covered it in class
Excellent video, thoroughly explained. Thanks.
why does cube root of x extend to the third quadrant ? It will be a complex number in that case..
+vivek sharma Cube root to negative number is negative.
Cube root is never imaginary. Probably you are referring to square-root.
+Anil Kumar Well cube root of a number gives 3 values. And also cube root of a negative number may be real and complex. For example cube root of -8 = −2−2, 1+i3√1+i3 and 1−i3√1−i3 . And so it depends on to which plot you are doing, i.e. for real values or complex values. I presume that you are plotting in real domain and hence your analogy is right.
−−−√−−−√
+vivek sharma Vivek, you are absolutely right. In this list, we are working in the domain of real numbers. We have different set of videos for complex numbers, which are limited to quadratic functions only. Thanks
Thank you for explaining this!
No its thank you! For teach us
Is a parabola y2=4ax differentiable at the vertex
Thanks for the excellent question. This parabola opens to the right. Derivative is undefined at the vertex. So it is not differentiable. Y-axis is tangent at the vertex.
Hope that helps.
SOLUTION: th-cam.com/video/XZskd6V5H0w/w-d-xo.html
Hope that helps
Cleared all doubts
very simple way of explanations. sir please put more vidoes in real analysis
Thanks
Check this video Live: th-cam.com/video/-0aX6h4_7OM/w-d-xo.html
Thanks
What is need of finding out its differentiable or not in practical phenomenon?
Signals of different kinds are being used in communication and modelling.
sir...you're amazing!
Thanks for appreciation!
Seriously your teaching is awesome Sir....I love your teaching
Thanks a lot for appreciation. Share Subscribe and spread the word!
Sir answer question,
Number of tangents y=e^|x| at (0, 1)
Options are __
a) 2.
b) 4.
c) 1.
d) 0.
In the first diagram, f(x)=|x| , Is the line x=0 also tangent at (0,0) ? Please tell with reason.
The question whether tangents can be inside the figure as well in case of a non differentiable point.
your explanation is so easy to understand
but sadly i found this video after the test....
Thanks for appreciation. Feel free to post questions and max the next test
Sir the third graph isn't the graph of tan x
It is cube-root function as written there. Thanks
Can you make a video on the proof of this theorem? [Continuous but not differentiable] I need it for my preperation. Im subscribing to your channel
+MrCuteguylol Thanks. It is a very important concept. I have few videos which you can check.
th-cam.com/video/YCQN_PqmRCw/w-d-xo.html
th-cam.com/video/xXPTmnVAem8/w-d-xo.html
Thank you sir
Great sir thankyou
Thanks for appreciation.
Thank you so much
Thanks a lot!!
Thank you
Thanks sir
Sir could u please elaborate on cusp , radical roots ,why the function is not differetiable
Thank you so much
Thanks sir