For the last question, why can you use the x and y coordinates of the original equation for the normal? How do you know that the point (1,-2) is on the normal line?
We are finding the normal at the point where x = 1 This means both the normal and the curve will intersect at the point when x = 1 Using the original curve's equation we find the y coordinate when x = 1 to be -2 so the point where they intersect is (1,-2). This means this point must both be on the curve and the normal. The same idea applies when you do tangents as well. You will often need to know the coordinates of a point on the normal/tangent and the easiest one to use is the one where it crosses the curve as they both have the same coordinate.
Hi. You can do this yet but it is not necessary. You don't need the full equation of the tangent, only it's gradient. The y intercept for the tangent unfortunately doesn't help get the equation of the normal at all so you may as well skip it!
tomorrow is the test, just learning this now, this channel is a life saver
Good to know I’m not the only one lol
Please be an easier paper 🙏
far better than most videos i saw before this one thanks
5 years old revising for my exam this afternoon! thank u bro 🎉
you're a five year old?
@@skibidinigga-pm1lu Lol some 5 year Olds are probs doing a level maths in like India or china
Lol
@@skibidinigga-pm1lu they're obviously joking man. see the other comments. others are bragging about being young and doing this.
@@skibidinigga-pm1lu he means his yt account is five year old
Excellent video sir good job.
I’m 7 and my maths teacher told me to watch this video for my exam
Fake
Looking at this video so I can get a little bit ahead of my Further Maths class. Thank you so much!!!
For the last question, why can you use the x and y coordinates of the original equation for the normal? How do you know that the point (1,-2) is on the normal line?
We are finding the normal at the point where x = 1
This means both the normal and the curve will intersect at the point when x = 1
Using the original curve's equation we find the y coordinate when x = 1 to be -2 so the point where they intersect is (1,-2). This means this point must both be on the curve and the normal. The same idea applies when you do tangents as well. You will often need to know the coordinates of a point on the normal/tangent and the easiest one to use is the one where it crosses the curve as they both have the same coordinate.
@@1stClassMaths thank you, that makes sense
12 years old here revising for the exam tmrw. ty!
edit: it’s a joke im 16 😂. gl!
im only just learning the topics 💀
aint no way you're 12 and studying this... XD I got 2 exams tomorrow too, so good luck!
why is a 12 year old doing further maths. Good luck tho
@@MrLimo-ii8rp same chem and further maths, im not ready
If your 12 im boss baby
Thank you man this really helped me 🙏🏻
Glad to hear it!
Doing a further maths test at 14 and had to revise old maths I'd forgotten for an exam. This really helped
Why did you feel you needed to tell everyone you are 14
@@pharaoh5633he thinks he’s special
Ratio lmaooo
Ty
ur the best
no u
This is very helpful thank you
Last minute 😂
gl to both of us (cooked)
From iraq , studying this at age about 15
Bro thinks he has 130 iq 💀
Mate my whole class is 15/16 and we are studying this together 💀
Bro is not special 😂😂😂😂
@@dynasticrulerbros mad cuz he repeated school a few times and has a below average intelligence level 🐒
I'm 13
For the last question why cant I find the equation of the tangent, and then find the equation of the normal from there
Hi. You can do this yet but it is not necessary. You don't need the full equation of the tangent, only it's gradient. The y intercept for the tangent unfortunately doesn't help get the equation of the normal at all so you may as well skip it!
@@1stClassMaths Oh yeah that makes sence, thank you.
Thank youu!!!
Thanks bro!
Thanks