The maximum value of is A mathematical expression showing the cube root of [x multiplied by (x minus 1) plus 1], for x between 0 and 1 inclusive.

Q29 of 168 Page 231

The maximum value of is

Let f(x) =

Now, if f’(x) = 0

Then, we evaluate the value of f at critical point and at the end points of the interval [0, 1].

Therefore, we can conclude that the maximum value of f in the interval [0, 1] is 1.

The point on the curve x² = 2y which is nearest to the point (0, 5) is

For all real values of x, the minimum value of is

Using differentials, find the approximate value of each of the following: