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A level quotient rule question

im using quotient rule to differentiate this equation but idk how to get to what they want me to prove
(edited 3 months ago)
Reply 1
Original post by esha06
im using quotient rule to differentiate this equation but idk how to get to what they want me to prove


Reply 2
Original post by esha06


You have illegally simplified the bracket - you need to expand the numerator and collect like terms
Reply 3
Original post by Muttley79
You have illegally simplified the bracket - you need to expand the numerator and collect like terms

i expanded and factorised to get this but now i have an extra (4x+k)^2
(edited 3 months ago)
Reply 4
The original error was that you cancelled a bracket (4x^2 +k) when the top and bottom were not entirely factors.
Reply 5
It is possible that you don’t understand what the g(x) is. Essentially you have the correct bracket multiplied by some algebra which can all be subsumed into g(x)
Reply 6
Original post by nerak99
It is possible that you don’t understand what the g(x) is. Essentially you have the correct bracket multiplied by some algebra which can all be subsumed into g(x)

so that is the answer basically
Reply 7
Pretty much but in a full answer you would need a statement of the form g(x)=…
Reply 8
Original post by esha06
i expanded and factorised to get this but now i have an extra (4x+k)^2

Why has the 4x^2 term on the denom become 4x?
Reply 9
Original post by Muttley79
Why has the 4x^2 term on the denom become 4x?

whoopsies i just missed it out by accident, thank you 😭

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