The curve C has parametric equations x=2cos(t) and y=3cos(2t). Find and expression for dy/dx in terms of t.
Differentiate both equations given with respect to t.
dx/dt = -2sin(t)
dy/dt = -6sin(2t)
dy/dx = (dy/dt) / (dx/dt)
Sub your values in to get
dy/dx = (3sin(2t))/sin(t)
SK
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