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Maths
A Level

How would you express (11+x-x^2)/[(x+1)(x-2)^2] in terms of partial fractions?

The first thing to consider when converting an expression to impartial fractions is how many fractions you will have in the end. With linear (no powers) brackets, found in the denominator of your initi...

MM
Answered by Matthew M. Maths tutor
7244 Views

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
13039 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
8751 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
7580 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
18270 Views

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