how to find the minimum point of a curve To determine whether the point on the curve is a maximum or minimum differentiate to the second order and substitute a coordinate in If the value is positive it is a minimum point vice versa Example Find the coordinates of the maximum of the curve y 6x 1 2 x 3 y 6x 1 2 x 3 dy dx 3x 1 2 1 d 2 y dx 2 3 2x 3 2 3x 1 2 1 0
How to find the minimum point of a function We can determine the coordinates of the minimum point of a function by using the derivative of the function to find the stationary points Then we use the second derivative to identify which of the points is a minimum A point on a curve is considered a relative minimum if the function is defined at that point and the function has equal or greater values an infinitesimal distance on both sides of the point
how to find the minimum point of a curve
how to find the minimum point of a curve
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This video introduces the concept of extreme points maximum and minimum points and illustrates how to find them and use them to draw the graph of a function Find the minimum point of a quadratic graph
You can find the maximum or minimum if your original function is written in general form or in standard form Finally you may also wish to use some basic calculus to define the maximum or minimum of any quadratic function A high point is called a maximum plural maxima A low point is called a minimum plural minima The general word for maximum or minimum is extremum plural extrema We say local maximum or minimum when there may be
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A minimum point is a turning point where the curve is concave down shaped A stationary inflection point is a point on the curve where the curvature changes and the tangent at this point is horizontal Maxima and minima of a function can be calculated by using the first order derivative test and second order derivative test Derivative tests are the quickest ways to find the maxima and minima of a function
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how to find the minimum point of a curve - This video introduces the concept of extreme points maximum and minimum points and illustrates how to find them and use them to draw the graph of a function