Maxima and minima

Overview of the Lagrange’s Mean Value Theorem

In mathematics, the mean value theorem asserts, approximately, that for each planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant across the endpoints, and this is known as the mean value of the arc. It is one of the most significant […]

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Applications of Derivatives, Class 12, IIT JEE, Maths, Maxima and minima

Minimum Values of a Function

Introduction A function is a term used in mathematics for describing the relationship between any two or more given variables. This is usually used to define the independent and dependent variables’ relationship. In mathematical terms, if any given variable x is related to another variable y, then the numerical value of x is said to

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Applications of Derivatives, Class 12, IIT JEE, Maths, Maxima and minima

Maximum values of a function

The maximum value of a function is also known as maxima. In a function, there are two points which are maximum and minimum for that given set of ranges. The maximum and minimum of a function, combined, are known as extremum. The maximum value of a function is the highest point in a curve. There

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Applications of Derivatives, Class 12, IIT JEE, Maths, Maxima and minima

Maxima and the Minima of Functions

Extrema are the maximum and minimum values of a function. Maxima and minima are the highest and lowest values of a function within the defined ranges. The largest value of the function is known as the absolute maximum, and the minimum value is known as the absolute minimum for the complete range of the function.

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Applications of Derivatives, Class 12, IIT JEE, Maths, Maxima and minima

Maxima and Minima of one and two Variable Functions

Calculus allows one to determine both maximums and minimums by applying the concept of derivatives. Because we are familiar with the idea that the derivatives provide information about the gradient and the slope of the function, we are able to identify the points along with the function at which the gradient is zero. These points

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Applications of Derivatives, Class 12, IIT JEE, Maths, Maxima and minima

Maxima and Minima

The extrema of a function are the points at which the function reaches its maximum and minimum values. The maximum and minimum values of a function are the maximum and minimum values of the function within the supplied set of ranges, respectively. Under the whole range of the function, the absolute maxima and minima of

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Applications of Derivatives, Class 12, IIT JEE, Maths, Maxima and minima

MAXIMA FUNCTION OF ONE VARIABLE

INTRODUCTION In mathematics, the maxima and minima of a function is called extrema. The highest point within the given range on the curve is called maxima point.The lowest point within the given range on the curves is called minima point. The extremum is found using the calculus of variation  if an extremum consists of its

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Applications of Derivatives, Class 12, IIT JEE, Maths, Maxima and minima

Least Square Method

The least-square approach involves minimising the sum of the squares of the offsets (residual component) of the points from the curve to get the best-fitting curve or line of best fit for a group of data points. The trend of outcomes is statistically evaluated throughout the process of determining the relationship between two variables. Regression

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Applications of Derivatives, Class 12, IIT JEE, Maths, Maxima and minima