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Maths
A Level

find the value of x for when f(x)=0. f(x)=9x^(2)-4

since f(x)=0 write

9x2-4=0

move the x's to one side and the numbers to the other.

so 9x2=4

then to get rid of the 9 divide ...

ZS
Answered by Zivanayi S. Maths tutor
3497 Views

How would you differentiate f(x) = 2x(3x - 1)^2 using the chain rule?

In order to differentiate this expression, you need to use the chain rule. 

The chain rule gives: f'(x) = uv' + u'v.

The u and the v are two parts of the o...

SE
Answered by Sam E. Maths tutor
14338 Views

Find the derivative of f where f(x)=a^x.

This is a difficult question that you only need to know the result of.However, it's a good exercise to derive it. 

Starting with f(x)=ax we can take the natural logarithm of bo...

LR
Answered by Larry R. Maths tutor
3953 Views

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
6677 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
12591 Views

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