This calculus 3 video tutorial explains how to find first order partial derivatives of functions with two and three variables. It provides examples of differentiating functions with respect to x or with respect to y using techniques such as the product rule, quotient rule, and power rule. This video contains plenty of examples and practice problems.

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Here is a list of topics:
1. Partial Derivatives – Basic Introduction
2. First Order Partial Derivatives
3. Differentiating Exponential Functions
4. Partial Differentiation of Polynomial Functions
5. Partial Derivatives of Natural Logarithmic Functions
6. First Order Partial Derivatives of Trigonometric Functions
7. Product Rule and Quotient Rule With Partial Derivatives
8. Evaluating Partial Derivatives of Functions at a Point
9. Finding The Slope of the Surface in the x direction and in the y direction
10. Higher Order Partial Derivatives – Examples and Practice Problems
11. Second Order Partial Derivatives – All Four, fxx, fxy, fyx, fyy
12. dz/dx vs dz/dy
13. Third Order Partial Derivatives – fxyz, fyyx, fyxy, fxyy
14. Equality of Mixed Partial Derivatives
15. Partial Derivatives of a function of two variables
16. Partial Derivatives 3 Variables

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  1. Luke Strauss

    Quick tip: if it’s ever ln(a/b) you can just split it to ln(a) – ln(b). That made it a lot easier to solve the partial derivatives of ln(x^2/y) example.

  2. Asra Akram0217

    Thank you so much sir… best vdo ever.. thank you so much sir… ♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

  3. Its Me SNiPEZ

    Who tf dislikes a video like this? Especially considering that all this guy's video are very detailed and helpful.


    Preparing for exams next week. Anything on partial derivatives I will get it all. I'm getting a clean A

  5. Natália Sádecká

    Thank u so much! U are a genius! 🤩 Thanx to you I understand things I should have understood before my exams 😁😁 and before I got Fx 😄😅 .

  6. Estere Manguze

    My degree maths exam is tomorrow and you've taught me more in a day than my professors all year and i pay their wages

  7. Okuhle Dyomfana

    Thank you for the great videos, when do we know that the other variable that we are not differentiating with respect to, must remain as it is or it must be zero?

  8. Abdihakim Dakane

    Who agrees with me that O.C.T is much better than Khan academy. This guy deserves to win global award for having positive impact to all students as well as the teachers. Many thanks

  9. Mertsia Sologhashvili

    Thank you so much, I'm glad I found a video that actually helped me to understand partial derivatives

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