How do I identify that the coordinate (2,3) is the maximum point of the curve f(x)?

Start by finding the first derivative of the function - by differentiating f(x) with respect to x. Then substitute the x-coordinate, in this case 2, into the first derivative and it will equal zero if (2,3) is a stationary point.Then differentiate f(x) again to obtain the second derivative.Now you must substitute the x-coordinate, 2 , into the 2nd derivative of f(x) and if the answer is less than zero then (2,3) is a maximum.