The minimum is the vertex which in this case is 0,0 or the origin. There isn't a maximum.....
When you solve for the 2nd derivative, you are determining whether the function is concave up/down. If you calculated that the 2nd derivative is negative, the function is concave down, which means you have a relative/absolute maximum, given that the 1st derivative equals 0. To understand why this is, think about the definition of the 2nd derivative. It is a measure of the rate of change of the gradient. At a maximum, the gradient starts positive, becomes 0 at the maximum itself and then becomes negative, so it is decreasing. If the gradient is going down, then its rate of change, the 2nd derivative, must be negative.
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.
f(x) = 2 cos 3x The amplitude: A = |2| = 2 The maximum value of the function: 2 The minimum value of the function: -2 The range: [-2, 2]
· whether it is linear, quadratic or exponential · whether it has an upper or lower bound · whether it has a minimum or a maximum value · whether it is constant, decreasing or increasing
The extrema are the maximum and minimum values.The extrema are the maximum and minimum values.The extrema are the maximum and minimum values.The extrema are the maximum and minimum values.
A maximum or minimum is generally referred to as an extrema.
The extrema.
Yes.
the first or the last term of a proportion or series. a relative maximum or relative minimum value of a function in a given region.
They are 1: the minimum 2: the lower quartile 3: the median 4: the upper quartile 5: the maximum. Sometimes the extrema (minimum and maximum) are plotted AFTER excluding outliers.
Addition is the maximum or minimum function in math.
An s orbital can have a maximum of two electrons.
Yes.If you find 2 relative minima and the function is continuous, there must be exactly one point between these minima with the highest value in that interval. This point is a relative maxima.Think of temperature for example (it is continuous).
The maximum value a wave reaches relative to its resting position is called the amplitude. It represents the maximum displacement of the wave from its equilibrium position.
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.
No, since the equation could be y = x3 (or something similar) which will have a point of inflection at (0,0), meaning there is no relative maximum/minimum, as the graph doesn't double back on itself For those that are unfamiliar with a point of inflection <http://mathsfirst.massey.ac.nz/Calculus/SignsOfDer/images/Introduction/POIinc.png>