Can you solve this A* Implicit Differentiation question???

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[dhruvbhatt]

Hi Mr Astbury your channel has been really helpful so far. If possible could u do a walk through on some difficult parametric integration and proof by contradiction questions,
Thanks

[saidbenrahma]

Keep making short exam question videos, alongside your past paper walk throughs, and your channel will GROW HUGELY over the years!

[zelsiefanaticshorts]

now this is the content that I created 15 accounts to subscribe for! Thanks for all your hard work sir:)

[Beesechurgersports]

I didn’t factorise and missed cos y as a solution and I got to 4sin^2y = -0.25 and I had no idea what to do after that - well I’ve learnt to always factorise when solving now! Thanks sir

[FHH]

How do you know when to make the denominator or numerator equal to zero? In the case of the dy/dx being equal to zero you made the denominator equal to zero but when a fraction is equal ro zero you make the numerator equal to zero. Hope this makes sense

[vl]

HEY, no worries sir, you are still the best!!!!

[henryash]

The question says determine the 2 equations.
Since you already find 2 solutions when you get cos(y) = 0, surely by logic that means you have eliminated the other equation (4sin(y)-x = 0) as having no solutions because you are told in the question that there ARE ONLY 2 tangents (that you need to find) where the gradient is infinity.
The idea we have already found 2 solutions could mean that we don't have to prove that the other equation (4sin(y)-x = 0) has no solutions, this would save a lot of time.
This is probably wrong but hopefully you can see what I'm thinking.

[stfuman]

are those the equations of straight line the x values cuz the lines are basically like asymptotes

[aslizgr]

where can I find the solution of the question in 0:42

[JoeJones-ze]

Would allowing dx/d0 to equal zero not be more accurate?

[bahgers]

It asked for the equation but you gave the coordinates?

[smartypants]

why do we make the denominator zero? And why is it equal to infinity?/

[japhethmonachan]

when u do product rule wouldnt the and ne 2xsiny and 2xcosy dy/dx

[fxcg]

hey :)) when we found the y values what exactly did we find in context of the equation like what do those y values mean ? i was just confused bcs it was an asymptote so wouldn’t y be nothing ? thank you so much !!!

[mushtieplays]

Hi sir, why do we not do we when Siny = 0?

[cherfurtado]

hey sir why can’t you divide by cos(y) on both sides? 4:31