HUMAN NUTRITION

Detailed explanation-1: -A critical point is a local maximum if the function changes from increasing to decreasing at that point, whereas it is called a local minimum if the function changes from decreasing to increasing at that point. A critical point is an inflexion point if the concavity of the function changes at that point.

Detailed explanation-2: -To find the critical points of a function y = f(x), just find x-values where the derivative f’(x) = 0 and also the x-values where f’(x) is not defined. These would give the x-values of the critical points and by substituting each of them in y = f(x) will give the y-values of the critical points.

Detailed explanation-3: -Take the first derivative of the function. Set the first derivative equal to zero and solve for the variable. These will be the critical numbers. If F’(x) is a rational function, you also need to set the denominator Q(x) equal to zero to find the values that make F’(x) undefined.