The Maths Prof: Rates of Change, Derivatives (Part 2)

'A point moves along a curve y=8/(7-2x). As it passes through the point P, the x-coordinate is increasing at a rate of 0.125 units per second and the y-coordinate is increasing at a rate of 0.08 units per second. Find the possible x-coordinates of P.'
Other lessons that you may find useful can be found below 👇 You can also find a playlist on my main page which covers all topics of the differentiation chapter in Cambridge AS Pure Maths 1 😄
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[RyanAlJabari-ix]

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[BLAQ_G.O.A.T_KASH]

Can I have a video on how to calculate rate from compound interest

[Infiniteme-km]

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[Ed_mcpaul]

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[masterloyalty]

I really don’t know how come about the -2 outside of that bracket

[abhijeetkumarpandey]

In a Nut - Bolt factory 180 workers are working 6 hours a day . Out of 180 workers there are some men, some women and rest are boys . All the workers can produce either nut or bolt or both of them . A man can produce 60 nuts and 80 bolts in each hour and a woman can produce 30 nuts and 60 bolts per hour. A man is thrice as efficient as a boy and 3/2 times as efficient as a women . Given that all men, all women and all boys produce equal number of items of one kind ( i.e either nut or bolt ) per hour.


Q:1 Working 6 hours a day, how many nuts they can produce with 52500 bolt in each day ?

a) 17500 b) 23760 c) 50850 d) 60280 e) 80336