# How to find local max and min on a graph

Ads by Google

## 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’ x

**o 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?

Ads by Google