Maxima and minima refer to the highest and lowest points of a function, respectively. A maximum is the point at which a function reaches its highest value within a given interval, while a minimum is where it reaches its lowest value. These points are crucial in calculus and optimization, as they help identify optimal solutions in various mathematical and real-world problems. In graphical terms, maxima and minima correspond to peaks and troughs on a curve.
Highest point reached by a curve. Minima is lowest.
ramlal says its the difference between the maxima and the minima.
Caffeine having different wavelents it having 2 maximas and 1 minima. 1st maxima is 205nm 2nd maxima is 273nm minima is 245nm and it is primary reference standard and also suggested in pharmacopiea. -Rajesh,Orchid
Caffeine having different wavelents it having 2 maximas and 1 minima. 1st maxima is 205nm 2nd maxima is 273nm minima is 245nm and it is primary reference standard and also suggested in pharmacopiea. -Rajesh,Orchid
In stationary waves, maxima (or antinodes) are points where the amplitude of the wave is at its maximum, resulting in the greatest displacement of the medium. Conversely, minima (or nodes) are points where the wave's amplitude is zero, meaning there is no displacement of the medium at those locations. These features occur due to the constructive and destructive interference of two waves traveling in opposite directions. The pattern of maxima and minima is a characteristic of standing waves formed in various physical systems, such as strings and air columns.
A polynomial of degree 4 can have up to 3 local maxima/minima.
The highest parts are the peaks, and the lowest points are the troughs. These could also be described as maxima and minima.
Plot the function. You may have found an inflection point.
A straight line has no turning points and so no local maxima or minima. The line has a maximum at + infinity and a minimum at - infinity if m > 0 and conversely if m < 0. When m = 0, the line is horizontal and so has no maximum or minimum. ([Alternatively, every point on the line is simultaneously a maximum and a minimum.]
A minimum of a function is the lowest value that the function can attain within a given domain, while a maximum is the highest value it can reach. These points can occur at specific input values (local minima or maxima) or over the entire domain (global minima or maxima). Identifying these points is crucial in optimization problems and helps in understanding the behavior of the function.
If the degree of the polynomial is odd, the range is all real numbers - for example, y = x5. If the degree is even, use derivatives to find maxima or minima. You learn about derivatives, maxima and minima in any basic calculus course. Example: y = x4 - 3x3 Take the derivative: y' = 4x3 - 9x2 Solve for zero: 4x3 - 9x2 = 0 This will give you two maxima or minima; in this case, check at which of these points the function has the smallest value. Because of the positive coefficient of the leading term, the function values go from this point all the way to plus infinity.
There are quadratic functions and irrational functions and fractional functions and exponential functions and also finding maxima and minima