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The derivative of a function is simply the gradient of that specific function at a general point, x. However, to actually understand why it is the case that 2x is the derivative of x², and not ...

Using the crab claw method:(x+2)(x+2) x(x+2) = x^2 + 2x2(x+2) = 2x + 4Add the total together = x^2 + 4x + 4

^{3x^2 - 48 = 3x(x-16) = 3(x^2-16) = 3(x-4)(x+4)}

This is a basic rearranging of the equation that easily catches students out and will generally be offered 3 marks. The first thing to do is take the 2 on the other side of the equation so we get x^2=16. ...

I would set up an equation where x is the number in question, like so:(3/5)x = 162I would then multiply both sides by 5 which would result in:3x = 1625 = 810Then, I would divide both sides by 3 t...