- #1
winslow
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Homework Statement
Use implicit differentiation to find an equation of the tangent line to the cardioid at the point (0, 0.5).
x2 + y2 = (2x2 + 2y2 - x)2
Homework Equations
Derivative rules
point slope formula
The Attempt at a Solution
I got
y' = [16x3-4x2+16xy2-4y2-4y2-8x2+2x] / [2y - 16x2y-16y3+8xy]Now the equation of the tangent line should come out to y = x + (1/2)
Not sure exactly how it gets that I know you use point slope formula once you find the slope but I'm not sure how to simplify that down