Thanks for the replies :smile:. My teacher also did the same substitution process when i asked him about this.
These integrations and differentiations are done in with respect to the x-coordinate which is a straight line .
I was wondering if we could carry out these operations with respect...
My friends were discussing about this problem (which they made up themselves).
∫\frac{1}{x^{2}+25}dx^{2}
They were substituting x^2 for y (x^{2}=y) and thus the answer would come to be log(y+25)
that is log(x^{2}+25)
I don't think this is the case , i guess that we would be...
Hi. This post is about general topology and is Euler's second formula . Can you people help me by finding a proof for V-E+F=2-2p. :smile:
Where,
p=genus of the surface.
F=number of regions the surface is partitioned into.
V=number of vertices.
E=number of arcs.
I'm currently reading...
Homework Statement
Finding the equations of common tangents of y^{2}=4ax and x^{2}=4by
Homework Equations
Equating both curves' derivatives :
\frac{2a}{y}=\frac{x}{2b}
The Attempt at a Solution
Calculated both of the curves' derivatives and equated them .
Used the...
Hi Bruce!
The other way i used to do it was to take the natural logarithm of both the sides(one side of the equation being y to suppose it as the function) two times in a row and then differentiating them both sides .
Is this what you were talking about ? :)
\frac{\partial}{\partial x}u^{v}=\frac{\partial}{\partial x}u^{v}.\frac{\partial}{\partial x}u+\frac{\partial}{\partial x}u^{v}.\frac{\partial}{\partial x}v
Can i get any reason or possibly a derivation for this ?
Hi tiny-tim!
I had been writing so your answer came before I questioned...
Homework Statement
Derivative of e^(x^x) with respect to x
Homework Equations
The Attempt at a Solution
Computed using wolframalpha. I have attached the image . Would anyone explain to me the part I have highlighted with the blue box.
(it's just an imagination) Maybe we could surf over the space time fabric.We could pull it up. The depressions are supposed to have created gravity. the pulled up fabric may be antigravity.