Please help! x^3 +y^3=9

Wolffan asked Sep 24, 2022

236,477 views

45 votes

Wolffan asked Sep 24, 2022

2.6k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

13 votes

Explanation:

Taking the derivative of both sides with respect to x, we get

(d)/(dx)(x^3 + y^3) = (d)/(dx)(3)

$\Rightarrow 3x^2 + 3y^2(dy)/(dx) = 0$

Solving for
(dy)/(dx) , we get

(dy)/(dx) = -(3x^2)/(3y^2) = -(x^2)/(y^2)

3.1k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers