1 The water-soluble vitamins (B vitamins and vitamin C) are absorbed easily along with the water in the small intestine, where they then travel through the body via the blood vessels. 2  Fat-soluble vitamins (vitamins A, D, and K) are absorbed just like the fat mentioned above.
A function f is said to be continuously differentiable if the derivative f'(x) exists and is itself a continuous function. Though the derivative of a differentiable function never has a jump discontinuity, it is possible for the derivative to have an essential discontinuity. For example, the function.
Differentiation is an operation that allows us to find a function that outputs the rate of change of one variable with respect to another variable.Informally, we may suppose that we're tracking the position of a car on a two-lane road with no passing lanes.hat is, the slope of the tangent to the graph of is. Of course, can, and generally will, depend on, so we should really think of it as a function of. We call this process (of computing) differentiation. Differentiation results in another function whose value for any value is the slope of the original function at.