How do you find local min and max?

When a function’s slope is zero at x, and the second derivative at x is: less than 0, it is a local maximum. greater than 0, it is a local minimum.

How do you find the local minimum on a graph?

To find the local minimum of any graph, you must first take the derivative of the graph equation, set it equal to zero and solve for . To take the derivative of this equation, we must use the power rule, . We also must remember that the derivative of a constant is 0.

How do you find the minimum and maximum of a graph?

What is a local max and min?

A function f has a local maximum or relative maximum at a point xo if the values f(x) of f for x ‘near’ xo are all less than f(xo). … A function f has a local minimum or relative minimum at a point xo if the values f(x) of f for x ‘near’ xo are all greater than f(xo).

How do you find local max and min without graphing?

What is the local maximum of a graph?

Looking at a graph, the local maxima and minima are the points where the graph flattens out and changes from increasing to decreasing, or vice versa.

How do you find the maximum on a graph?

To find the maximum, we must find where the graph shifts from increasing to decreasing. To find out the rate at which the graph shifts from increasing to decreasing, we look at the second derivative and see when the value changes from positive to negative.

How do you find Max and REL min?