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[Answer for a Further Maths A level student]: We could just apply the formula for summing an arithmetic series, but this won’t give a good understanding of why the answer we get is correct, which...

dy/dx = 3(2x-4)^2 x 2
dy/dx= 6(2x-4)^2
dy/dx =24(x-2)^2

The A* grade in Maths is awarded to candidates who achieve an A (480 out of 600 UMS) in their overall A Level as well as achieving a combined score of 180 out of 200 UMS in modules Core 3 and Core 4 (i.e....

The key point in here is noticing that the derivative of sin(x) is cos(x). That way, if we rename sin(x) as u , i.e u:=sin(x), the derivative will be du=cos(x)dx. So, inside the integral, instead of havin...

Despite the hideous view, we can apply to this function the same methodology as all the other ones: break it down to pieces. What we mean is that we recognize three terms inside f(x): one is the number 1 ...