Problem

Find $ dy/dx $ by implicit differentiation. $ \…

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Problem 8 Easy Difficulty

Find $ dy/dx $ by implicit differentiation.
$ x^3 - xy^2 + y^3 = 1 $

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Video Transcript

In this problem were given an equation and were asked to use implicit differentiation to find directoirespect x, we're going to take the ritual the terms with respect to x, leesome first term, that is 3 x squared minus 4, the second term we're going to use for a Rule so we have y square plus x times that is first term multiplied by the root of second term, which is 2 y times dy dx since y is a function f x plus we have 3 y stay d x again, since 1 is contrax right hand, Side is 0, since 1 is just ascent. So let's report the terms with t y d x on left hand, side dividex of 3 y squared minus. We have 2 x y plus write old terms without dyd on the right hand side. So we have y squared minus 3 x. Squared from this we can see that the rot of point with respect to x is equal to 1 squared minus 3 x divided by well. Why is it common variable, so we can write this 1. As y times 3 y minus 2 x,

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Calculus: Early Transcendentals

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