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Differentiate wrt x to get 3x² + 3y²dy/dx = 3y + 3x dy/dx Rearrange to get dy/dx = (3x² - 3y)/(3x-3y²). Set dy/dx =0 and infer y=x². Substitute in fo...

2 = 2xTherefore x = 1

This is a question I recently tackled with one of my tutees from the edexcel GCSE specimen papers. I would begin to tackle any geometry question like this by drawing the triangle in question. We are given...

The Gradient is 4, this is because this is a straight line graph and it is in the form of y=mx+c, with m being the gradient and c being the y intercept. If the equation was y=6x+3, the gradient would be 6...

First differentiate the equation, giving you, y'=(1/x)+10x. To get the gradient at this point of the curve, plug in x=1, to get a y' value of 11, and a y value of 5. From there you can plug these three nu...