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Stepping Stones to Understanding Differentiation used in AI
2 students

Stepping Stones to Understanding Differentiation used in AI

Raising the bar in Differentiation-An intermediate course
Created bySuman Mathews
Last updated 5/2026
English

What you'll learn

  • You will learn how to calculate the derivative of Composite functions
  • Differentiation of Inverse Trigonometric functions
  • You will learn the difference between explicit and implicit functions
  • Use of suitable substitution in differentiating inverse trigonometric functions is illustrated
  • Bonus-You'll learn about L Hospital's rule and how to use it in evaluating certain limits

Course content

12 sections13 lectures1h 1m total length
  • Introduction0:43

Requirements

  • Continuity and Differentiability Part 1 would help you .

Description

Has Differential Calculus baffled you? Hi and Welcome to Differentiation Part 2. I am Suman Mathews.



I have a double Master's in Mathematics and I've taught Maths for three decades at the high school and college level. Trust me. I know exactly what it takes to boost up your math scores. I have explained the basics of Differentiation in Part 1 of Differentiation.


If you like you can enrol for Part 1 of he course. it's free! So, we start with going over the derivatives of Composite Functions.



You learn how to apply Chain Rule in a simple way. Moving on, you'll learn about how to incorporate differentiation of Inverse Trigonometric functions. The trick here, is to substitute and make the function simple.




A number of problems have been incorporated here and solved for your understanding. You'll learn what are Implicit Functions and how to differentiate them. The trick here is to just differentiate both sided of the equation.



Implicit Differentiation is explained quite in detail here. There is also an Assignment and a small test on multiple choice questions on what you've learnt so far.  I hope this has served your purpose of learning Differentiation.


Bonus: Learn about L-Hospital's rule in Indeterminate form of limits. This lesson shows you how we use Differentiation in evaluating special limits. Applications of Derivatives, ie Derivative as a Rate Measure is also discussed here.

Learn the basic concept of functions used in Algebra. You start with how to calculate inverse of a function.


Get inspired and enrol for this course. Remember, a journey of a thousand miles begins with one step! Thank you!















Who this course is for:

  • Students studying Differential Calculus