Rules for partial derivatives, Mathematics

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Rules for Partial Derivatives

  1. For a function, f = g (x, y) . h (x, y)

    727_rules for partial derivatives.png

    = g (x, y)  

    289_rules for partial derivatives1.png

    + h (x, y)  60_rules for partial derivatives2.png
    1396_rules for partial derivatives3.png = g (x, y) 495_rules for partial derivatives4.png + h (x, y) 465_rules for partial derivatives5.png

                  This is known as product rule.

644_rules for partial derivatives6.png h(x, y)

*

0

562_rules for partial derivatives7.png 

         This is known as quotient rule.

  1. For a function, f = [g(x, y)]n

2089_rules for partial derivatives8.png 

This is the generalized power function rule.


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