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You would use the product rule. uv'=uv- u'vdx. In this case we would allocate u= ln x and v'=1 so u'=1/x and v=x so uv=xlnx whilst u'v=x/x=1 so we would have xln(x) -1dx. Next we would get xln(x)-x +c

Option 1 - Differentiate using product rule giving dy/dx = cos²(x) - sin²(x). (2 marks) Subbing in x as pi (1 mark) then gives (-1)² + (0)² . ...

let us start by taking two points on the curve y=x², the first with x-coordinate x, and the second x+Δx and drawing a straight line between them. We can form a right-angled triangle, with two s...

1. Write out the question fully like so: =(x-7)(x-7) 2. Expand the brackets using the FOIL method. i.e First Outer Inner Last or the Crab Claw Method You should get: = x^2 - 7x - 7x + 49 Be careful wit...

170 divided by 11 is the weight of one carrot (15.45), so mulitply that by 20 (309.09) would be the weight of 20 carrots.