CBSE Class 12 Maths Notes Chapter 7 Integrals Integration is the inverse process of differentiation. In the differential calculus, we are given a function and we have to find the derivative or differential of this function, but in the integral calculus, we are to find a function whose differential is given. Thus, integration is a process which is the inverse of … [Read more...]
Application of Derivatives Class 12 Notes Maths Chapter 6
CBSE Class 12 Maths Notes Chapter 6 Application of Derivatives Rate of Change of Quantities: Let y = f(x) be a function of x. Then, represents the rate of change of y with respect to x. Also, [latex s=1]\frac { dy }{ dx }[/latex]x = x0 represents the rate of change of y with respect to x at x = x0. If two variables x and y are varying with respect to another variable t, … [Read more...]
Continuity and Differentiability Class 12 Notes Maths Chapter 5
CBSE Class 12 Maths Notes Chapter 5 Continuity and Differentiability Continuity at a Point: A function f(x) is said to be continuous at a point x = a, if Left hand limit of f(x) at(x = a) = Right hand limit of f(x) at (x = a) = Value of f(x) at (x = a) i.e. if at x = a, LHL = RHL = f(a) where, LHL = and RHL = Note: To evaluate LHL of a function f(x) at (x = o), put x = a … [Read more...]
Determinants Class 12 Notes Maths Chapter 4
CBSE Class 12 Maths Notes Chapter 4 Determinants Determinant: Determinant is the numerical value of the square matrix. So, to every square matrix A = [aij] of order n, we can associate a number (real or complex) called determinant of the square matrix A. It is denoted by det A or |A|. Note (i) Read |A| as determinant A not absolute value of A. (ii) Determinant gives … [Read more...]
Matrices Class 12 Notes Maths Chapter 3
CBSE Class 12 Maths Notes Chapter 3 Matrices Matrix: A matrix is an ordered rectangular array of numbers or functions. The numbers or functions are called the elements or the entries of the matrix. Order of a Matrix: If a matrix has m rows and n columns, then its order is written as m × n. If a matrix has order m × n, then it has mn elements. In general, am×n matrix has … [Read more...]