NCERT Solutions for Complex Numbers and Quadratic Equations Exercise 5.3 Class 11 Maths

September 13, 202239 Insightful Publications

**NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives**: The NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives answers all of the questions in the Class 12th Mathematics syllabus for 2022-23. These NCERT Solutions include a comprehensive set of questions and answers organised at an advanced level of difficulty, giving students ample opportunity to apply their knowledge.

To help students comprehend the topics of the chapter, Embibe offers 400+ practice questions explaining 41 different concepts. These practice questions come with a wide range of 3D interactive videos to assist students with their studies. Embibe intends to help students understand the basics of the chapter in a fun learning way. Students can easily track their progress on Embibe and work accordingly. Read on to know more.

In this chapter, students will learn how to determine the rate of change of quantities, how to find turning points on the graph of a function, how to find the equations of tangent and normal to a curve at a point, and much more. The NCERT Solutions for 12th Class Maths Chapter 6 Applications of Derivatives have been designed by the top and experienced teachers at Embibe. These solutions will help students tackle the exam questions with the correct approach.

Nevertheless, Embibe will teach students the best way to score good marks. Embibe offers free NCERT 3D videos by top explainers in an easy-to-understandable language. These videos will help students understand the fundamentals of the chapter easily. Moreover, Embibe also provides books, NCERT Exemplars, and much more for free. Go ahead and use Embibe to see the improvement in the final results. Below we have provided the list of important topics explained by Embibe:

Topic Name | Topic Name |
---|---|

Rate of Change of Quantities | Approximations |

Increasing and Decreasing Functions | Maxima and Minima |

Tangents and Normals | Maximum and Minimum Values of a Function in a Closed Interval |

Some of the important points to remember from Class 12 Maths Chapter 6 are as follows:

- Application of Derivatives is widely used in engineering, science, economics, and social science, among other fields.
- One of the most important applications of derivatives is to find the best solution to problems. For example, finding the equations of tangent and normal to a curve at a point, or turning points on a function’s graph, will help us locate points where the largest or smallest value (locally) of a function occurs.
- Derivatives can also be used to calculate the intervals at which a function increases or decreases. Finally, it is useful to determine the approximate value of specific quantities.
- The derivatives are used to compute the rate of change, intervals of increasing or decreasing functions, the point at which the tangent is parallel or perpendicular, the approximate value of numbers, and so on.
- The first derivative test is used to find the extremum point of functions by analysing their first derivatives.
- The Second Order Derivative is the derivative of the given function’s first derivative.
- A derivative test in calculus uses a function’s derivatives to locate the critical points of a function and determine whether each point is a local maximum, a local minimum, or a saddle point. Derivative tests can also provide information about a function’s concavity.

Students can go through the description of each chapter to get an overview of the contents of the chapters:

**1st Chapter – Relations and Functions****2nd Chapter – Inverse Trigonometric Functions****3rd Chapter – Matrices****4th Chapter – Determinants****5th Chapter – Continuity and Differentiability****6th Chapter – Application of Derivatives****7th Chapter – Integrals****8th Chapter – Application of Integrals****9th Chapter – Differential Equations****10th Chapter – Vector Algebra****11th Chapter – Three Dimensional Geometry****12th Chapter – Linear Programming****13th Chapter – Probability**

**Ans: **Students can solve Class 12 Maths Chapter 6 questions for free on Embibe.

**Ans: **Students can find more than 400 practice questions for Class 12 Maths Chapter 6 on Embibe.

**Ans: **Yes, Embibe offers 3D interactive videos for Class 12 Maths students.

**Ans: **Students can use Embibe’s books for all subjects for free anytime to boost their exam preparations.

**Ans: **Students can find and use the NCERT Solutions for Class 12 Maths Chapter 6 on Embibe for free.