Complete Differentiation Course for Class 12 & JEE: Explore Every Rule & Formula in 17 Hours

Delve into the world of differentiation with our extensive course, perfect for Class 12 and JEE aspirants. Covering everything from basic principles to advanced topics like successive and areal differentiation, this course makes mastering differentiation formulas, including tan x, cot x, and log x, straightforward and engaging.
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Last Updated:December 27, 2023
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About Course

Embark on a 17-hour mathematical journey with our Differentiation Class 12 Maths course, meticulously designed for both CBSE and JEE candidates. This course begins with an in-depth exploration of derivatives and their fundamental rules, presented over three lectures. Each session is crafted to enhance understanding of key concepts such as what is differentiation and the differentiation of various functions.

Progressing through the course, you’ll dive into the world of partial differentiation, quotient rule, chain rule, and product rule of differentiation. These concepts are essential for grasping the complexity and beauty of calculus. Our course also includes a focused study on the differentiation of specific functions like tan x, cot x, and log x, which are pivotal for higher-level mathematics and competitive exams.

Special emphasis is given to advanced topics like successive differentiation and areal differentiation, ensuring a comprehensive understanding. The course also covers composite functions using the chain rule, implicit functions, inverse trigonometric functions, exponential functions, logarithmic functions, parametric functions, and second-order derivatives, all aligned with the NCERT curriculum.

Delivered in both English and हिंदी, our course is accessible to a wide range of learners. Each lecture is accompanied by relevant NCERT chapter references, providing a strong foundation for academic and competitive examination preparation.

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What I will learn?

  • Master the basic principles and advanced concepts of differentiation.
  • Understand and apply the quotient, chain, and product rules of differentiation.
  • Gain expertise in differentiating specific functions like tan x, cot x, and log x.
  • Learn about successive and areal differentiation for a well-rounded understanding.
  • Navigate through complex topics like implicit, exponential, and logarithmic functions.
  • Equip yourself with skills for solving second-order derivative problems.

Course Curriculum

Derivatives and Rules
"Derivatives and Rules" is a fundamental lesson that introduces students to the world of calculus, focusing on the concept of derivatives and their basic rules. This lesson is vital for building a strong foundation in calculus, essential for advanced mathematics in the CBSE and ICSE syllabi.

  • Derivatives and Rules Part 1
    51:23
  • Derivatives and Rules Part 2
    55:19
  • Derivatives and Rules Part 3
    34:59

Composite Function (Chain Rule)
"Composite Function" is an engaging lesson designed to introduce students to the concept of combining two or more functions to form a composite function. This topic is crucial for understanding complex function operations and is an important part of the CBSE and ICSE mathematics curriculum.

Implicit Function
"Implicit Function" is a thought-provoking lesson that delves into the concept of implicit functions, where variables are not explicitly solved for. This topic is essential for understanding advanced calculus concepts, aligning well with the curriculum of CBSE and ICSE mathematics.

Inverse Trigonometric Function
"Inverse Trigonometric Function" explores the fascinating world of trigonometry by introducing students to the concept of inverse functions of trigonometric ratios. This lesson is key for deepening their understanding of trigonometry, an essential topic in the CBSE and ICSE mathematics curriculum.

Exponential Function
"Exponential Function" offers a deep dive into the dynamic world of exponential growth and decay. This lesson covers the fundamental properties and applications of exponential functions, an important concept for students in the CBSE and ICSE mathematics curriculum.

Logarithmic Function
"Logarithmic Function" is a detailed lesson that uncovers the intriguing properties and applications of logarithms. Essential for students in understanding exponential relationships, this topic forms a core part of the mathematical curriculum in CBSE and ICSE standards.

Parametric Function
"Parametric Function" introduces students to the unique world of parametric equations, where variables are expressed as functions of a third variable, known as a parameter. This lesson is crucial for understanding complex curves and motions, aligning with the CBSE and ICSE mathematics curriculum.

Second Order Derivatives
"Second Order Derivatives" deepens students' understanding of calculus by exploring the concept of second-order derivatives, which represent the rate of change of the rate of change. This advanced topic is vital for mastering higher-level mathematics in the CBSE and ICSE syllabi.

Miscellaneous Exercise Solved
"Miscellaneous Exercise Solved" is a comprehensive lesson designed to consolidate students' understanding through a variety of solved examples. Covering diverse topics, this exercise reinforces key concepts and problem-solving techniques in the CBSE and ICSE mathematics curriculum.

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Requirements

  • Basic understanding of Class 11 Maths concepts, particularly calculus.
  • Familiarity with mathematical functions and algebraic expressions.
  • Eagerness to delve into advanced mathematical topics for Class 12 and JEE.
  • Commitment to engage in a comprehensive 17-hour learning experience.
  • Access to NCERT Class 12 Maths textbooks for reference and practice.
  • Ability to comprehend and follow lectures in both English and हिंदी.

Instructor

Tarique Anwar
Tarique Anwar
Mathematics Instructor
Free
Free access this course

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