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Maths
A Level

f(x) = (4x + 1)/(x - 2). Find f'(x)

Quotient rule: (vu' - uv')/v^2

u = 4x + 1

u' = 4

v = x - 2

v' = 1

Input into formula:

[(x - 2)(4) - (4...

SS
Answered by Salah S. Maths tutor
13237 Views

How do I differentiate something in the form f(x)/g(x)?

To differentiate the quotient of two functions f(x)/g(x) you can use the quotient rule, the formula of which is: (f'(x)*g(x)-f(x)*g'(x))/g2(x)

it is important to remember which...

RP
Answered by Riccardo P. Maths tutor
8989 Views

Do the following vector equations intersect? l = (1 + μ)i + (2 - μ)j + (2μ - 5)k, and m = 2λi + 3j + (2 + λ)k.

Firstly we must appreciate that if there is an intersection between l and m, this means that there exists a point that occurs on both lines. Therefore if there is an inte...

HD
Answered by Harry D. Maths tutor
7816 Views

Differentiate y= (2x+1)^3. [The chain rule]

For maths questions I feel that getting your head around the concepts are difficult but once achieved allow you to comfortably answer a wide range of questions. Therefore for maths tuition I think it i...

JJ
Answered by James J. Maths tutor
18697 Views

What is the probability that a leap year has 53 Sundays?

This is pretty straight forward.
There are 366 days in a leap year, i.e, 1 more than a normal year.

Now, 52 weeks make up 344 days (52 x 7 = 344)
That means that we already ha...

YR
Answered by Yatharth R. Maths tutor
70192 Views

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