Were assigned questions regarding implicit differentiation and the second derivative but did not receive a formal lesson so I need some explanations.(adsbygoogle = window.adsbygoogle || []).push({});

Example:

Find the second derivative

x^3 + y^3 = 1

I found this solution on the internet and the answer matches the one in the textbook.

However, I don't understand how -2xy^3 - 2x^4/y^5 turned into just -2xy^3/y^5 (This is the 5-6 step). Furthermore, I don't see how -2xy^3/y^5 equals -2x(y^3 + x^3)/y^5 (6-7 step).

Simply, I need explanations for this solutions rationale. Thanks.

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# Implicit Differentiation - Second Derivative

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