There are to classes of methods to find the minimum of a function: analytical and numerical. Analytical methods are precise but cannot be applied always. For example, we can find the minimum of a function by setting its first derivative to zero and solve for the variable and then check the second derivative (must be positive). Numerical methods involve the application of steps repeatedly until an acceptable estimate of the solution is found. Numerical methods include Newton method, steepest descent method, golden section method, Simplex method, to name just a few.
It can't - unless you analyze the function restricted to a certain interval.
Find the minimum and maximum values from the given data. Then range is the difference between maximum and minimum values.
You integrate the probability distribution function to get the cumulative distribution function (cdf). Then find the value of the random variable for which cdf = 0.5.
you can just ask the question on ask .com
Minimum
By taking the derivative of the function. At the maximum or minimum of a function, the derivative is zero, or doesn't exist. And end-point of the domain where the function is defined may also be a maximum or minimum.
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
Find the maximum and minimum values that the function can take over all the values in the domain for the input. The range is the maximum minus the minimum.
Set the first derivative of the function equal to zero, and solve for the variable.
y=2x2-3x2-12x+5=0
Addition is the maximum or minimum function in math.
In Calculus, to find the maximum and minimum value, you first take the derivative of the function then find the zeroes or the roots of it. Once you have the roots, you can just simply plug in the x value to the original function where y is the maximum or minimum value. To know if its a maximum or minimum value, simply do your number line to check. the x and y are now your max/min points/ coordinates.
The general procedure is to find the function's derivative, and then solve for (derivative of the function) = 0. Each of these solutions may be a local maximum or minimum - or none. Further analysis is required. A local maximum or minimum may also occur at points where the derivative is undefined, as well as at the function's endpoints (assuming it is only defined for a certain range, for example, from 0 to 10).
The minimum is the vertex which in this case is 0,0 or the origin. There isn't a maximum.....
A global minimum is a point where the function has its lowest value - nowhere else does the function have a lower value. A local minimum is a point where the function has its lowest value for a certain surrounding - no nearby points have a lower value.
The minimum function is the function that takes two arguments and returns the smallest of the two. Alternatively the function can take any finite amount of arguments and return the smallest.
There is no minimum value for the cosecant function.