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Maths
A Level

Integrate y= x^3+3x^2-4x-7 between x values 1 and 3

Firstly, integrate y with respect to dx. Increase the powers of x by 1 and then divide the coefficient of x by the new power of x. I.e.: x^3 becomes 1/4x^4. The power increases from 3 to 4 and the coeffic...

LA
Answered by Louis A. Maths tutor
2835 Views

How do we use the Chain-rule when differentiating?

The Chain-rule is used to differentiate a function of a function. Running through an example:Let's say want to differentiate the function y = (2x+1)^3. We can substitute a variable, w, in order to differe...

HR
Answered by Hira R. Maths tutor
3514 Views

How do I show two vectors are perpendicular?

Vectors can describe a line of particular length ("magnitude") and direction. The angle x between two vectors a and b can be found using the formula a.b...

SA
Answered by Sarah A. Maths tutor
86958 Views

Differentiate 2x^3 - xy^2 - 4

Differentiate the first term 2x3 as normal by multiplying the coefficient of x by the power and subtracting the power by 1 to get 6x2 . For the next term you have to use the product rule as you...

EV
Answered by Elena V. Maths tutor
2876 Views

Express 4x/(x^2-9)-2/(x+3) as a single fraction in its simplest form

4x/(x2-9)-2/(x+3) = 4x/((x+3)(x-3))-2/(x+3) = 4x/((x+3)(x-3))-2(x-3)/((x+3)(x-3)) = (4x-2(x-3))/((x+3)(x-3)) = (2x+6)/((x+3)(x-3) = (2(x+3))/((x+3)(x-3)) = 2/(x-3)

CS
Answered by Charles S. Maths tutor
8217 Views

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