Expert: Paul Klarreich - 3/25/2009

Question
Determine the slope of -y3 + 2x2 = -6 when x = 1 and y = 2.

Answer
Questioner:   Luis Uribe
Country:  United States
Category:  Calculus
Private:  No
 
Subject:  Calculus ( Relates rates/ derivitives)
Question:  Determine the slope of -y3 + 2x2 = -6 when x = 1 and y = 2.
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Let's write:
y^3 = 2x^2 + 6

Use implicit differentiation:

3y^2 dy/dx = 4x

dy/dx =  4x/3y^2

Now at  x = 1,  y = 2, substitute and find your slope.