Find dy/dx at a point

A question is this type if and only if it asks to find the gradient or dy/dx at a specific point on a parametric curve, given either a parameter value or coordinates.

27 questions · Moderate -0.1

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OCR MEI C4 2006 January Q2
5 marks Moderate -0.8
2 A curve is defined parametrically by the equations $$x = t - \ln t , \quad y = t + \ln t \quad ( t > 0 )$$ Find the gradient of the curve at the point where \(t = 2\).
OCR MEI C4 2008 June Q5
5 marks Moderate -0.8
5 A curve has parametric equations \(x = 1 + u ^ { 2 } , y = 2 u ^ { 3 }\).
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(u\).
  2. Hence find the gradient of the curve at the point with coordinates \(( 5,16 )\).