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How do you find the maximum value of a function?

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How do you find the maximum value of a function?

If you are given the formula y = ax2 + bx + c, then you can find the maximum value using the formula max = c – (b2 / 4a). If you have the equation y = a(x-h)2 + k and the a term is negative, then the maximum value is k.

How do you find the maximum or minimum value of a function?

Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

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What is the maximum value of the expression 1 X² 5x 10?

maximum value of 1/(x² + 5x + 10) is 4/15.

How do you find the maximum of a set of data?

The maximum and minimum also make an appearance alongside the first, second, and third quartiles in the composition of values comprising the five number summary for a data set. The minimum is the first number listed as it is the lowest, and the maximum is the last number listed because it is the highest.

How do you find the maximum value in Excel?

Calculate the smallest or largest number in a range

  1. Select a cell below or to the right of the numbers for which you want to find the smallest number.
  2. On the Home tab, in the Editing group, click the arrow next to AutoSum. , click Min (calculates the smallest) or Max (calculates the largest), and then press ENTER.

What is the maximum value of the function FX 2x 2 2x 6 in interval 0 2?

f(12)=2122−212+6=5.5, so x=12 is a mimimum. f(0)=6. So, the maximum value is at x=2 which is 10 as there are no other extremum for the given function.

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How do you find the lowest value of a quadratic equation?

If your quadratic equation has a positive a term, it will also have a minimum value. You can find this minimum value by graphing the function or by using one of the two equations. If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c – b^2/4a.

What will be the maximum value of 1 X X?

e1/e
The maximum value of function is e1/e.

What is the maximum value of Sinx COSX?

Hence the maximum value of sinx-cosx is $\sqrt{2}$.