Stepping Stones to Understanding Differentiation used in AI
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
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.
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
Instructor
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!