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Differentiate a rational and logarithmic parametrisation

A curve has x=t/(1+t)x=t/(1+t), y=ln⁡(cos⁡t)y=\ln(\cos t), where the printed exclusions are t≠−1,π/2t\ne-1,\pi/2. Find dy/dxdy/dx in terms of tt. marks

[2009/CJC/Promo/10(a)]

CJC · Review problems · Question 4

Differentiate both coordinates with respect to t, then divide dy/dt by dx/dt.

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