What is the minimum value of the function x log x?

For maxima and minima put f’ (x) = 0. f (x) is minimum at x = e. The minimum value of x at x = e is f (e) = e / [log e] = e.

How do you find the minimum of a sine function?

The minimum value of the function is m = A ‐ |B|. This minimum occurs whenever sin x = −1 or cos x = −1.

What is value of x 2 y 2?

The value of (x^2 – y^2) = ( x + y) ( x – y ) .

What is the least possible value of xy 1?

The least possible value of this function is 1.

What is the maximum and minimum value of x = 2?

To find the maximum and minimum value we need to apply those x values in the original function. To find the maximum value, we have to apply x = 2 in the original function. Therefore the maximum value is 7 at x = 2.

How to find the maximum and minimum of a quadratic function?

The maximum or minimum of a quadratic function occurs at x = − b 2a x = – b 2 a. If a a is negative, the maximum value of the function is f (− b 2a) f ( – b 2 a). If a a is positive, the minimum value of the function is f (− b 2a) f ( – b 2 a).

How do you find the maximum and minimum value of parabola?

To find the maximum and minimum value we need to apply those x values in the original function. To find the maximum value, we have to apply x = 2 in the original function. Therefore the maximum value is 7 at x = 2. Now let us check this in the graph. The given function is the equation of parabola.

What is the algebraic condition for a minimum?

The algebraic condition for a minimum is that f ‘(x) changes sign from − to + . We see this at the points E, B, F above. The value of the slope is increasing. Now to say that the slope is increasing, is to say that, at a critical value, the second derivative (Lesson 9) — which is rate of change of the slope — is positive. x2 − 6 x + 5. 2 x − 6.