Complete Explanation of CBSE Notes
Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Please refer Application of Derivatives Class 12 Notes for more revision notes.
Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions. Please refer Continuity and Differentiability Class 12 Notes for more revision notes.
What is Determinant of a matrix?
When a square matrix “A” of an order “n” is associated with a number, then it is titled as a determinant of the aforementioned matrix. The number involved in this square matrix can be a real number or a complex number. Please refer Determinants Class 12 Notes for more revision notes.
Matrices Class 12 Notes are an important branch of mathematics, which also helps students understand other mathematical concepts due to the inter-relatedness to other branches. A matrix can be defined as an array of numbers or functions arranged in a rectangular order.
A matrix which possesses rows titled “X” and columns titled as “Y” is called as a matrix of an order of X x Y. The major operations carried out with Matrices are the Addition, Subtraction, and Multiplication. Understanding the types of matrices is essential to understand, the other topics better.
What is Inverse Trigonometric Function?
The Inverse Trigonometric Functions Class 12 Notes is an important aspect of trigonometric functions, included in the syllabus for class 12 students. Inverses of trigonometric functions exist solely due to the restrictions existing on the domains and their respective ranges. Being able to solve inverse trigonometric function problems starts by understanding the trigonometric ratios first.
The behavior of these trigonometric functions is usually represented in the form of graphical methods. They play an essential role in calculus as they help to define different integrals. The major applications of inverse trigonometric functions in everyday life are in the fields of science and engineering.
Relations and Functions Class 12 Notes are an integral part of Mathematics, which helps to define the different concepts, along with different types of specific valued functions along with their graphs. A relation can be mathematically defined as the linking or connection between two different objects or quantities.
Functions, on the other hand, can simply be defined as a special kind of relations. With the help of proper examples, a clear distinction between the two can be established. You can practice this chapter and all its topics thoroughly with the help of the Relations and Functions Worksheet.
Mathematics is probably the most important subject for a science student of class 12. Numerous crucial topics are included in class 12 like calculus, vectors, etc. which are also used to understand many of the concepts of other subjects like physics and chemistry.
In the board exam, the maths paper includes some extremely complicated questions which require the students to have a thorough understanding of the concepts. The students also need to practice several questions from all the chapters to be able to tackle any question in the board exam.
During preparation, having maths notes for class 12 is extremely beneficial to learn various topics easily. To help the students prepare more effectively, CBSE Class 12 Maths Notes are provided here.
The glands are secretory organs and are of two main types, viz. (i) exocrine glands and (ii) endocrine or ductless glands. Endocrine glands secrete active substances called Hormones. Hormones are informational molecules. They are secreted in response to changes in the environment inside or outside the body. They are secreted into the blood, which distributes it all over the body, especially to their target organs and tissues.
Hormones are the chemical substances produced from an endocrine or a ductless gland. They may be defined as, “substances which are produced in one part of an organism and transferred to some other part where their physiological effects are observed”. Chemically they may be polypeptides, steroids and biogenic amines (non-protein compounds containing amino group). Please refer Chemical Coordination and Integration Class 11 Notes for more revision notes.
Human Neural System:
In humans, the neural system is classified into two parts, namely:
The central nervous system (CNS) consists of the brain and the spinal cord. The peripheral nervous system consists of the nerves and ganglia that exists beyond the brain and the spinal cord. A simple analogy to represent the two systems would be a tall, branched tree – the central trunk would represent the CNS and the branches that extend outward from this trunk would be the PNS. Please refer Neural Control and Coordination Class 11 Notes for more revision notes.
Types of movement – ciliary, flagellar, muscular; skeletal muscle- contractile proteins and muscle contraction; skeletal system and its functions; joints; disorders of muscular and skeletal system – myasthenia gravis, tetany, muscular dystrophy, arthritis, osteoporosis, gout. Please refer Locomotion and Movement Class 11 Notes for more revision notes.
CBSE Revision Notes