# 12 Grade Math

Welcome to 12 grade math!!!!11th grade math is a foundation for 12th grade math. Some of the topics which you have studied in 11th grade the same topics are repeated in 12th grade-math but in details. ask-math describes the what the student are going to learn in this grade. Some topic introduction and to learn these topics step by step, there are links given at the bottom.

**Relations :**ask-math has already introduces this topic in 11th grade math. Now in the 12th grade, ask-math teaches you about the Cartesian products of the sets, different types of relations.

**Functions:**In this chapter ask-math explains you about various types of functions, composition of functions and inverse of a function.

**Inverse trigonometric functions :**In this chapter, you will learn the inverses of all trigonometric functions and to study their properties.

**Algebra of matrices :**In this section you will learn the operations on matrices such as addition, subtraction and multiplication of matrices.

**Determinants**Every square matrix can be associated to an expression or a number which is known as its determinant.

**Continuity :**Continuous function is a function for which sufficiently small changes in the input result in random small changes in the output if not then the function is said to be a discontinuous function.

**Differentiability :**Let f(x) be a real valued function whose derivative exists at each point in its domain.

**Mean value theorems :**Let f be a real valued function defined on the interval [a,b] such that the function is continuous at [a,b] , differentiable on (a,b) and f(a)= f(b).

**Tangents and Normals :**In this section you will learn how to find the gradient of the curve.

**Application of derivatives:**In this section you will learn Increasing and decreasing functions and Maxima and Minima.

**Integrals :**Under this section , you will learn indefinite and definite integrals.

**Application of intergrals:**Here you will learn how to find the area under the simple curve and area between the two curves.

## 12 grade math links

•**Relations**

Cartesian product of sets

Domain

Relation

Void relation

Universal relation

Identity relation

Reflexive relation on set

Symmetric relations

Transitive relation

Antisymmetric relation

Equivalence relation

•

**Limits and continuity**

Introduction to Limits

Finding limits numerically

finding limits graphically

Limits that fail to exist

Formal definition of Limits

Properties of Limits

Evaluate the limit by direct substitution

Limits of trigonometric functions

Finding limits by factorization method

Finding limits by rationalizing method

Calculus Squeeze theorem

Continuity of a function

Greatest integer function

Intermediate Value theorem

Infinite Limits

•

**Differentiation**

Introduction of derivatives

Derivatives of a function

Differentiability and Continuity

Derivative of a constant function

Power rule for derivatives

Constant Multiple Rule for derivatives

Sum and difference rules for derivatives

Derivative of trigonometric function

Product rule for differentiation

Quotient rule for differentiation

Chain rule for differentiation

Implicit differentiation

Derivative of exponential function

Differentiation of logarithmic function

Derivative of bases other than e

Derivatives of inverse trigonometric functions

Finding Related rates

Extreme value theorem

Relative minimum and maximum

Critical points

Rolle's Theorem

Mean Value Theorem

Increasing and Decreasing functions

Second Order Derivatives

concavity of function

Point of inflection

Limits at Infinity

Analyzing Graph of function

Introduction to Optimization

Optimization Problems

Newon's method for approximating function

Tangent line approximation

Differentials

Antiderivatives(Indefinite Integral)

Power rule of Integration

Properties of Integration

Integration of trigonometric functions

Integration by U-substitution

Home

**Covid-19 has led the world to go through a phenomenal transition .**

**E-learning is the future today.**

**Stay Home , Stay Safe and keep learning!!!**

**Covid-19 has affected physical interactions between people.**

**Don't let it affect your learning.**