Deeper Understanding of Differentiation for AI
What you'll learn
- You'll learn how to differentiate Composite functions using Chain Rule
- Learn the difference between explicit and Implicit functions and how to differentiate implicit functions
- You will learn how to differentiate Determinants
- Learn how to calculate second order derivatives and prove identities involving them
- You'll learn Lagrange's Mean Value theorem and it's applications
- Learn about Rolle's Theorem and how to use it in problem solving
- Check out the objective questions for mastery
Requirements
- Basic knowledge of Calculus.
Description
Welcome to this course on Differentiation. This is the third series of my course on Differentiation. The concepts and problems explained in this course will help you immensely while learning Integral Calculus.
I am Suman Mathews, mathematics educator and teacher. I have a double master's in Math and I have helped students achieve their goals in Maths for the past three decades. As you proceed with the course, take a pen and paper and practice the problems along with me .
You start with learning how to differentiate composite functions. This is an extremely important concept for you to master. Progressing through the course, you'll learn Implicit functions next.
So, what exactly is an Implicit function? How do you differentiate between an explicit and implicit function? Learn all this and how to differentiate Implicit Functions here.
Moving on, you learn about logarithmic differentiation.Given a function to the power of another function, a simple trick to follow will be to apply log to both sides. You then differentiate both sides, using the concept learnt in Implicit Differentiation.
You'll progress to learn how to differentiate Determinants. This can be done in two ways, either using row wise or column wise differentiation. Another extremely important concept you'll learn here is second order derivatives.
Learn what are second order derivatives and how to evaluate them. You'll also learn how to solve identities using second order derivatives. Formulas that you've learnt are also given to you as a special feature.
Bonus: Learn more about solving identities in Second order derivatives. Also , learn Lagrange's Mean Value theorem and it's applications in problem solving.
You'll also learn about Rolle's Theorem and how to apply it in problem solving. Check out the objective questions for mastering this topic.
Learn applications of Derivatives in Cone and Half Cylinder.
A good self learning course for you here. You can encourage your friends to join this course. Join my road map for differentiation.
Who this course is for:
- Students learning Calculus will benefit from this course
Instructor
- 4.1 Instructor Rating
- 17 Reviews
- 3,196 Students
- 22 Courses
I have been a mathematics educator for over 25 years teaching mathematics both at the high school and graduate level. Presenting a set of courses on Class 11 and 12 maths and College maths.
These courses are designed to help you understand the basic nuances of Mathematics. Each topic in mathematics is like a language which makes sense, only if it is understood. My mission in each of these courses is to help any student understand the subject better and develop a liking for Mathematics.
The courses are self explanatory. A lot of importance is given to problem solving
You can contact me for any feedback about course topics. I would love to hear from you!