Science:Math Exam Resources/Courses/MATH100/December 2010/Question 01 (g)/Solution 1
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First, we must find the derivative of the curve using implicit differentiation:
This gives us the equation for the slope. The question is asking us for the slope at the point (-1,1) so we plug in x=-1 and y=1:
Therefore, the slope of the tangent line to the curve at (-1,1) is 2/3.