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$5-20$ Find dy/dx by implicit differentiation.$$x^{3}+y^{3}=1$$

$-\frac{x^{2}}{y^{2}}$

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Differentiation

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You know this problem we would like to find the rhythm of X cubed plus white cube. He's here for the one in order to find the derivative here, we need to use implicit differentiation and the group of was executed is three X. Where and so the derivative of Y cubed is three Y squared. Because it's a why we need to throw a Y. Prime And on the other side the derivative of one zero. Now our task is solving this for why prime taking that three X squared over to the other side is going to tell us that three Y squared. Why prime is equal to negative three X squared. Mhm Divide both sides by three Weisberg. Oh there on the left were just left at the Y prime On the right. The three is canceled, leaving us with negative X squared over wise word.

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