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Can re-write function as y=4x^1/2Then follow the standard steps for differentiating a power. Take the 1/2 down and multiply by the number in front of the x, in this case 4, to give 2. Now reduce...

Volume of cuboid = width x length x heightV = (x + 1)(2x - 2)(x + 2)
For simplicity, multiply the first 2 sets of brackets first. Then multiply the result by the third set of brackets.Note: for multi...

As this is a calculator paper, it is acceptable to use one. The first step to calculating the exact value of x is to make it the subject of the equation (i.e. moving it to its own side)2^x = (8^3/4)/(16^1...

Firstly, the negative power sign flips the number the 1/125.The 1/3 part of the power means find the cubic (3rd) root. 1/5Finally the 2 of the power means square the number. 1/25 is therefore the final an...

Firstky differentiate to gain an equation for the gradient.Differentiating gives:dy/dx = 6x²Insert x = 2 into the above equation to find the gradient at that particular point of the curve.When ...