Differentiating allows you to find the gradient of a function at any point across its domain. One of the fundamental characteristics of turning points is at the moment the function turns around the gradient is zero. So if we can find the x-value of the turning point we can then solve the original function for the y-value. Have a look at this video that I made on the subject: ruclips.net/video/NQlihdSTSkk/видео.html
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 " .
No: a turning point is a stationary point; however not all stationary points are turning points. At a turning point, there is a local maximum or minimum. Stationary points that are not turning points are horizontal inflection points....for example, look at the graph of y = x^3 at the origin.
@@MathsWithJay find how many roots of the equation x^4+2x^2-8x+3 =0 are .(in illustration solution they used graph method but so kindly to you comfort explain by any)
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
In an exam, you would be expected to do more than just find that the first derivative is zero....there will be some examples where you won't be able to "see" the graph.
i love how she tries to answer everyones comments and answer questios plus the accent😍💯💯definitely subscribing
Wow! Thank you for your lovely feedback Alex.
bless you lady, bless you
@Raza: Thank you!
Thanks a lot.This helped me in TS EAMCET exam!!
Thank you Manjula...good luck for your results...in England, students need this for A' level
Thanks jay
@Evans Wanyoike: Thank you!
Thanks a lot , this video helped me grind graph chapter. Bless you
Glad it helped!
Thanks Jay you are a lifesaver
Thank you!
3 years later and you are still saving lifes
...and time flies...
Thank you m j u are my saviour on this topic
That's great!
Thanks
I had the exact same question
@Junaid Zahir: Wow!
this really helped thank you
Glad it helped!
best teacher ever
Wow! Thank you
Thank you so so much for explanation. Be blessed
You are so welcome
THANK YOU you saved my life
You're very welcome
Hi Jay, Thank you so much, but 12x - 10 when x is equal to -1/3, shouldn't answer be -50?
my bad, stupid me!
No!
Thank you so so much for the explanation.
You're very welcome!
This helped thank you 😊
No problem 😊
Thanks jay! Really Good
Didn't know d²y/dx² before but now I know 👍 👍 👍
Glad you liked it!
thank you so much!!
Glad it helped!
May u live long 💖
Thank you!
Thank you!!!
@Harriet Read: You're welcome!
But I still didn't understand how differentiating it help us find turning point?
I mean how does it works?
Differentiating allows you to find the gradient of a function at any point across its domain. One of the fundamental characteristics of turning points is at the moment the function turns around the gradient is zero. So if we can find the x-value of the turning point we can then solve the original function for the y-value.
Have a look at this video that I made on the subject:
ruclips.net/video/NQlihdSTSkk/видео.html
@Harold: Thank you
@@HaroldWalden thank you
Maths with Jay no worries 😃
Your videos are great by the way!
This is the exact question I got
Coincidence!
Well explained thanks
Glad it was helpful!
Bless you
Thank you 😊
Thanks madam 👌👌
You're welcome!
cheers mate
:)
I didn't understand how to find the max and min points using part a. Could you explain please?
At what time in the video?
@@MathsWithJay 9:50 for part d
To distinguish between the points, we work out the second derivative...if it is negative, we have a max, and if positive, we know it is a min
I don't understand hw u got the y =-2/27-5/9+4/3+2
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 " .
The next step is to put your dy/dx equal to zero and solve for x, just as in this video.
Is the stationary point the same as a turning point?
No: a turning point is a stationary point; however not all stationary points are turning points. At a turning point, there is a local maximum or minimum. Stationary points that are not turning points are horizontal inflection points....for example, look at the graph of y = x^3 at the origin.
Thanks you so much
Happy to help
When I say my guy,you say jay
My guy jay
My guy jay
Yay!
Where did u find these questions and where can I get the mark scheme
This came from Edexcel.
Could you please explain to me why the quadratic equation is being divided by 2 in the beginning. At 3:12
It makes it simpler to factorise....but if you choose to use the quadratic formula, you don't need to divide by 2
THANKS
You're welcome!
I love you
:)
Great
Thank you!
@@MathsWithJay find how many roots of the equation x^4+2x^2-8x+3 =0 are .(in illustration solution they used graph method but so kindly to you comfort explain by any)
I'm sorry but I don't get how x is 1/3 at 4:11
We solve 3x+1=0 by subtracting 1 from both sides, then divide both sides by 3.
@@MathsWithJay thank you
Find dy/dx from x = y log (xy)
Are you looking for implicit differentiation?...ruclips.net/video/-amktdwBqbc/видео.html
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
In an exam, you would be expected to do more than just find that the first derivative is zero....there will be some examples where you won't be able to "see" the graph.
Do you work at Sparx Maths by any chance ?
No...does someone there sound like me?
There's a mistake in factorising...the value of x=1and2/3
At what time in the video?
why is there a math error when I used the quadratic formula typed
@zara: Where did you type it?
what to do if second derivative comes as 0
You could look at the sign of the first derivative on each side of the stationary point.
can we use the b 2 formulae
@zara: What are they?
ily
ty
how did u find 73 over 27
At what time in the video?
U made a mistake during factorization
See the last few examples in this video to see how to factorise these quadratics: ruclips.net/video/sMj1GAc3hAU/видео.html
I AGREE
Great!