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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...
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...
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...
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...
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)
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