Find Turning Points & their Nature, using Differentiation

Local maximum & minimum points of a cubic. We start by finding dy/dx to find the stationary points, then find the second derivative to find the nature of the points. Edexcel C2 Jan 2006 Exam Question 7

[AlexMacharia-xdgh]

i love how she tries to answer everyones comments and answer questios plus the accent😍💯💯definitely subscribing

[manjulav]

Thanks a lot.This helped me in TS EAMCET exam!!

[Omer-bfqu]

3 years later and you are still saving lifes

[pawanaditya]

Thanks a lot, this video helped me grind graph chapter. Bless you

[junaidzahir]

Thanks
I had the exact same question

[utuntupamed]

Thank you m j u are my saviour on this topic

[joexau]

Hi Jay, Thank you so much, but 12x - 10 when x is equal to -1/3, shouldn't answer be -50?

[dylankc]

Thank you so so much for explanation. Be blessed

[DjFinestWorldWide]

Thank you so so much for the explanation.

[darkseid]

But I still didn't understand how differentiating it help us find turning point?
I mean how does it works?

[ethan-ydgw]

Is the stationary point the same as a turning point?

[suprvrse]

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[faaizas]

I didn't understand how to find the max and min points using part a. Could you explain please?

[sparklymoon]

just saw this and would like to ask about the question that i couldn't solve 😟 can you help me with this question 👉 Determine the stationary points and find their natures for each of the following curves . (a) y = 5 - 2x³, i got the dy/dx, but i don't know how to do the next step which is, "when dy/dx = 0 " .

[keiraknight]

Where did u find these questions and where can I get the mark scheme

[rahulk]

Could you please explain to me why the quadratic equation is being divided by 2 in the beginning. At 3:12

[nicktasticartworks]

I'm sorry but I don't get how x is 1/3 at 4:11

[xMrHulx]

Do you work at Sparx Maths by any chance ?

[moinuddinkassmi]

For part d, why did we require the double differentiation result to find if it was the minima or the maxima. We could just see if the y is higher or lower. Please correct me if I am wrong lol