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Option 1 - Differentiate using product rule giving dy/dx = cos 2 (x) - sin 2 (x). (2 marks) Subbing in x as pi (1 mark) then gives (-1) 2 + (0) 2 . Therefore the gradient is 1 (1 mark) . Option 2 - Initially...

let us start by taking two points on the curve y=x 2 , 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 sides paralle...

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 with signs, ...

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.

Differentiating a function, f(x,t) with respect to a varible, such as x or t, tells you rate of change of the fucntion with respect to that varible. By subbing in a value for x into you differentiated functi...