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Help differentiation

Help I don’t get why they multiplied by 4 in the answers I know it’s the derivative of 4x-1
But for most qs we don’t multiply by this forIMG_2665.jpegIMG_2666.jpeg

Like in this q part a we don’t do that thing IMG_2667.jpeg
(edited 11 months ago)
Original post by Alevelhelp.1
Help I don’t get why they multiplied by 4 in the answers I know it’s the derivative of 4x-1
But for most qs we don’t multiply by this for


Chain rule applies for differentiating ln(4x-1) and if done properly it will show why the 4 appears.
Reply 2
Original post by RDKGames
Chain rule applies for differentiating ln(4x-1) and if done properly it will show why the 4 appears.


Can u check my edit plz I posted another pic which this rule doesn’t apply to
Original post by Alevelhelp.1
Help I don’t get why they multiplied by 4 in the answers I know it’s the derivative of 4x-1
But for most qs we don’t multiply by this forIMG_2665.jpegIMG_2666.jpeg

Like in this q part a we don’t do that thing IMG_2667.jpeg

If y= Ln(ax+b)
dy/dx = 1/ax+b * a’ (derivative of (ax+b)

y = ln(4x-1)
dy/dx = 1/4x-1 x 4

Differentiate 4x-1 = 4
Original post by Alevelhelp.1
Can u check my edit plz I posted another pic which this rule doesn’t apply to


It does apply. What you show is the simplified form missing the initial step of the chain rule.
Reply 5
Original post by Alevelhelp.1
Help I don’t get why they multiplied by 4 in the answers I know it’s the derivative of 4x-1
But for most qs we don’t multiply by this forIMG_2665.jpegIMG_2666.jpeg

Like in this q part a we don’t do that thing IMG_2667.jpeg


basically what the others have said. for chain rule:

u=4x-1 y=ln u
du/dx=4 dy/du= 1/u
du/dy= 4 x 1/u = 4/4x-1

hope that helps :smile:
Reply 6
Original post by nnnn6666
basically what the others have said. for chain rule:

u=4x-1 y=ln u
du/dx=4 dy/du= 1/u
du/dy= 4 x 1/u = 4/4x-1

hope that helps :smile:


IMG_2669.jpeg But I got this I don’t get where the other 4 comes from
Reply 7
Original post by Alevelhelp.1
IMG_2669.jpeg But I got this I don’t get where the other 4 comes from


What "other 4"? There is no "other 4" - they've used 44x1\dfrac{4}{4x-1} as part of the chain rule, which is precisely what you've shown in your working!
Reply 8
Original post by davros
What "other 4"? There is no "other 4" - they've used 44x1\dfrac{4}{4x-1} as part of the chain rule, which is precisely what you've shown in your working!

Ohhh exam pressure is getting to me and I’ve got the worst cold ever 😭😭😭
I literally feel dizzy idk what to do my exam is on Monday
Reply 9
Original post by Alevelhelp.1
Ohhh exam pressure is getting to me and I’ve got the worst cold ever 😭😭😭
I literally feel dizzy idk what to do my exam is on Monday

Take a break for a bit! Or alternate your revision with some exercise or something :smile:
Reply 10
Original post by davros
Take a break for a bit! Or alternate your revision with some exercise or something :smile:


I can’t risk breaks 😭 there’s too much work to do and I don’t know much
I take dinner breaks and stuff tho (1hour long)
(edited 11 months ago)

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