The saviour of A-Level maths students.

Absolutely awesome explanation Mr J Brown :)

Thank you so much for these videos

Great as always!!!

Very well informed video!

Great video

Great teaching bro

How would you go about finding the y co-ordinates to accompany the x co-ordinates we’ve just found?

@TLMaths

3 жыл бұрын

Substitute the x values into the original equation y = ...

Very good.

love you man

Thank you!

Thank you sir

Would the function not be y= 4/3x^3+ 4x^-1?

@TLMaths

9 жыл бұрын

Evlyn George No, the reason is that 1/(4x) is the same as (1/4) * (1/x) = (1/4) * x^-1

@coolfons123

9 жыл бұрын

Jack Brown Ah right thank you!

I am trying to make sense of the second derivative. Am I correct to say that it represents the gradient after the stationary point. Therefore, as the rule d^2y/dx^2 >0 is because the gradient is now increasing from its stationary point which tells us that the point is a minimum and vise versa with the max

@TLMaths

2 жыл бұрын

The videos from G3-11 onwards should help: sites.google.com/view/tlmaths/home/a-level-maths/full-a-level/g-differentiation/g3-gradients?authuser=0 You’ll probably want to stick to current spec videos as they go into more detail - this one is from the old spec.

When any number is rooted to an even number is it always plus or minus? what about when rooted to an odd number?

@TLMaths

6 жыл бұрын

square rooting to get plus or minus has nothing to do with the number being even or odd. If I write down sqrt(4), this is equal to positive 2 only. -sqrt(4) is equal to negative 2 only. The equation x^2=4 has two solutions, x=2 and x=-2

@edwarda.710

6 жыл бұрын

Jack Brown oh that makes sense but I meant that if you had something like x=cube root of 8 it can only be a positive number can it because -2 cubed will give -8 I was a little confused about that

@TLMaths

6 жыл бұрын

Oh sorry I misunderstood. The square root, 4th root, 6th root, 'even-th' root will produce two results - a positive and a negative (and you can only root positive numbers in these cases), but the cube root, 5th root, 7th root, 'odd-th' root will only produce a single positive or negative result, depending on whether the number you're rooting is positive or negative respectively.

@edwarda.710

6 жыл бұрын

Jack Brown thank you, your explanations are really good and clear

You legend

That is alot of working for one question.

@Evilstr98

7 жыл бұрын

Yeah it is. If this came up in a Core 2 paper, this would be a 4/5 mark question which will be well worth it!