Finding Stationary Points for an Implicit Equation : ExamSolutions Maths Tutorials

Tutorial on finding stationary points for an implicit equation.
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[@fayiajosiah4807]

I REALLY ENJOY THE STUFF

[@bennnh1089]

Advanced info says this is on the paper in about 3 hours, lets pray aqa clutches up

[@anony4717]

Thank you

[@skylinexj100]

ok thanks. just needed to clarify. i havent done maths in quite a few years so this helps a lot. Thank you very much :)

[@madeleinecole2420]

This helped so much! Thank you :D

[@tiagaomas8487]

Wow thanks sooo much this reallyyyy helped me

[@jude3118]

if a questions says "show that y^3+12xy+16=0 has no stationary points" what am i supposed to do i'm not sure which values i should use to calculate the discriminant because it's an implicit equation

[@ExamSolutions_Maths]

anything divided by 0 is undefined not 0

[@jayjain1033]

are you supposed to take dy/dx to left hand side or right hand side , they both give different answers

[@ExamSolutions_Maths]

It doesn't matter. You should get the same answer if you take dy/dx to the left or to the right-hand side of the equation.

[@ExamSolutions_Maths]

a/b=0 if you multiply both sides by b then a=0.

[@enewham9066]

Many thanks for all your videos. I do get confused when at 6:45 when you start tidying up, why (2y)^2 becomes 4y^2 though. Please you you explain?

[@ExamSolutions_Maths]

E Newham 2y x 2y = 4 y^2

[@TSMK900]

At 7:03 of the video,i thought the equation was 5y^2= - 20. How did the 20 become positive?

[@ExamSolutions_Maths]

I added 20 to both sides so 20 = 5y^2 then switched it around.

[@TSMK900]

ExamSolutions Thanks

[@skylinexj100]

sorry just to double check, why do you equate the numerator to 0, and not the denominator

[@anthony1003]

If you set the denominator to zero then finding any solution becomes impossible as anything divided by zero is undefined. It'll become basically an infinitely big number that isn't or cannot be defined.

[@skylinexj100]

but why not a/0=b :. b=0