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Syllabus and Exam Weightage for Class 12 Mathematics

There are many extensive topics to cover from the Maths CBSE Class 12 syllabus. Students have to develop extra attentiveness while practising the chapters of Maths because of the Maths Class 12 Chapter wise weightage which plays a very important role in the final exam. Extramarks provides the best quality learning material for Maths syllabus for Class 12 CBSE which is kept on par with the new pattern for CBSE Class 12 Mathematics. Below are some of the important topics from the CBSE Class 12 Mathematics syllabus.
Chapter 1 Relations and Functions 
Chapter 2 Inverse Trigonometric Functions 
Chapter 3 Matrices
Chapter 4 Determinants
Chapter 5 Continuity and Differentiability 
Chapter 6 Application of Derivatives 

Let x be a point in the domain of definition of a real-valued function f, then f is said to be increasing, strictly increasing, decreasing or strictly decreasing at x, if there is an open interval I containing x, such that f is increasing, strictly increasing, decreasing or strictly decreasing, respectively, in I.
Note: If for a given interval I allow R, function f increases for some values in I and decreases for other values in I, then we say a function is neither increasing nor decreasing.

Let f be continuous on [ a, b] and separated on an open interval (a, b). Second Derivative Test: let f(x) be a function defined at an interval I and c at interval I. Let f be two times differentiable to c. Then Ix= c is a local maxima point, if f'(c)=0 and f'(c) is <0. (ii)x= c is a local minima point, if f'(c)=0 and f'(c) is > 0.
(iii) the test fails if f'(c)=0 and f'(c)=0.

Note I If the test fails, we will go back to the first derivative test and find out whether a is a local maxima point, a local minimum or a point of inflexion.
(ii) If we say that f is twice differentiable at o, then that means that a second-order derivative exists at a.

Absolute Maximum Value: let f(x) be a function defined in its domain, say Z to R. Then f(x) is said to have the maximum value at a point where Z is real, if f(x) ≤ f(a) is valid, and Z is valid.

Absolute Minimum Value: let f(x) be a function defined in its domain, say z by R. Then f(x) is said to have the minimum value at a point where Z is valid, if f(x) ≥ f(a) is valid, and Z is valid.

Note: Every continuous function specified in a closed range has a maximum or minimum value, either at the endpoint or at the solution of f'(x)= 0 or at the point where the function can not be distinguished.

Let f be a continuous function at interval I=[ a, b]. Then f has the absolute maximum value, and/or at least once in I. Additionally, f has the absolute minimum value, which is reached at least once in I.

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