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We differentiate here to find the gradient, dy/dx, i.e. the differenitial of y in terms of x. As the right handside is purely dependant on x, this is simple. We can just multiply through by the power, i.e...

After a meal blood sugar levels will rise. In the Islets of Langerhans beta cells detect hyperglycaemia and secrete insulin, while alpha cells stop releasing glucagon.
The insulin moves in the blood...

For a curve where y = f(x) the gradient of the curve is the derivative of this equation dy/dx. Stationary points of a curve occur when the gradient of the curve is zero. Hence find the expression for dy/d...