Question Detail
Question
Find dy/dx at (1,1) of the implicit function x²+x+y³=0
Correct Answer
Option A is the correct answer.
Detailed Explanation
Differentiating: 2x+1+3y²y'=0, so y'=-(2x+1)/(3y²). At (1,1): y'=-(3)/(3)=-1.
Hint
Differentiate implicitly and solve for y', then plug in the given point.