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A minimum point will have a gradient of 0 (although so will a maximum point or a point of inflection). dy/dx = 3x²-6x. We can substitute x = 2 into this equation to give 0 (alternatively solve ...

As we cannot immediately differentiate inverse tan we take tan of both sides giving us tan(y)=3e^2x. We then differentiate with respect to x, however this must be done using implicit differentia...