What is the extreme value of X 1 X?

Take log on both sides and differentiate on both sides with respect to x. Then equate, dy/dx=0, and you will get the extreme values of the equation. You will find that at x=e, the given equation has maximum value, thus you will get e^(1/e) as it’s extreme value.

What is the value of Maxima?

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema), or on the entire domain (the global or …

What is the maximum value of 3 sin theta 4 cos theta?

Here, So, the maximum value would be : Hence, the maximum value is 5.

What is the maximum value of a parabola?

The maximum value of a parabola is the y-coordinate of the vertex of a parabola that opens down. The minimum value of a parabola is the y-coordinate of the vertex of a parabola that opens up.

What is the maximum value of (1/x)^x?

So all you can take the value of x is to be one. So the maximum value comes out to be One. If we increase the value i.e x>1 then the value of function will decrease. If you take is a positive integer, so X is greater than or equal to 1. As X increases, the values of (1/X)^X decreases.

Is x = ex = E a relative minimum or absolute maximum?

The far-right end point, x = e x = e, will not be a relative minimum since it is an end point. The function will have an absolute maximum at x =d x = d and an absolute minimum at x = a x = a.

What is the maximum value of function E?

The maximum value of function is e 1/e. Was this answer helpful? Thank you. Your Feedback will Help us Serve you better.

What is the value of dy/dx at 1/e and (1/E)/Infinity?

(1+lnx) is less than 0 so dy/dx will be positive means function is increasing.while in (1/e,infinity) (1+ln x) is positive so dy/dx will be negative means it is decreasing in this domain. It means at 1/e function will attain its local maximum and it is also global maximum. Max (y)= (1/ (1/e))^ (1/e)=e^ (1/e). Note y is always positive.