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Differentiation help

Hi I just wanted to know if i differentiate x= (y-1)/-2 does the -2 at the bottom be affected? Would dx/dy be - 1/2?
Thanks
Original post by thequackingduck
Hi I just wanted to know if i differentiate x= (y-1)/-2 does the -2 at the bottom be affected? Would dx/dy be - 1/2?
Thanks


yes
Cheers! There was me trying to differentiate the -2 too haha
How would i rearrange x^2 lnx = y to get x as the subject
I'm just unsure on how to get rid of the ln
Reply 4
Original post by thequackingduck
How would i rearrange x^2 lnx = y to get x as the subject
I'm just unsure on how to get rid of the ln


apply fallowing derivative formulas

d/dx (uv) = (u dv/dx ) + ( v du/dx )

d/dx x^n = n x^(n-1)

d/dx (ln x) = 1/x
:smile:
Original post by thequackingduck
How would i rearrange x^2 lnx = y to get x as the subject
I'm just unsure on how to get rid of the ln


I do not think you can - are you sure that you need to
Reply 6
Original post by thequackingduck
How would i rearrange x^2 lnx = y to get x as the subject
I'm just unsure on how to get rid of the ln


You can't get x as the subject of that!

Why do you think you need to?
I guess I can't do that then haha no wonder it was hard lol
Original post by thequackingduck
I guess I can't do that then haha no wonder it was hard lol


Why were you trying?
How do i differentiate √9-y (all of it is square rooted) with the limits of 0 and 9
I can't believe that I'm stuck on this, I'm disappointed in myself. Thanks.
Reply 10
Original post by thequackingduck
How do i differentiate √9-y (all of it is square rooted) with the limits of 0 and 9I can't believe that I'm stuck on this, I'm disappointed in myself. Thanks.


That doesn't make sense! Are you trying to differentiate or integrate?
Oh sorry i meant integrate!! My bad!
Reply 12
Original post by thequackingduck
Oh sorry i meant integrate!! My bad!


Well do you know how to integrate y\sqrt{y} with respect to y? It's exactly the same principle :smile:
Yeah but I've just forgotten that's the thing. I honestly don't know why ha, once I see the solution I'll be kicking myself lol
Reply 14
Original post by thequackingduck
Yeah but I've just forgotten that's the thing. I honestly don't know why ha, once I see the solution I'll be kicking myself lol


Well, what's the integral of y\sqrt{y} for a start?
Sqrt(9-y)
Limits of 0 to 9
Any help?
Reply 17
Original post by thequackingduck
Any help?


You haven't answered my question yet :tongue:

What's the integral of y\sqrt{y} ?
The integral of a smiley face?!
Reply 19
Original post by thequackingduck
The integral of a smiley face?!


Are you actually going to do any work on this or have you stopped trying now?

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