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AS91578 Differentiation

Derivatives of parametric functions

AAchieved

  1. 1A curve is defined by the parametric equations x = t³ + 2t and y = e^(2t). Find dy/dx in terms of t.Free

MMerit

  1. 2A ball is thrown from ground level. After t seconds its horizontal distance is x = 20t metres and its height is y = 15t − 4.9t² metres. Find the gradient of the ball’s path when t = 1.Free
  2. 3A curve is defined by x = t² − 3 and y = t³ + 2t. The point P(1, 12) lies on the curve. Find dy/dx at P.Free
  3. 4A Merit question, in the pass🔒 Pass
  4. 5A Merit question, in the pass🔒 Pass
  5. 6A Merit question, in the pass🔒 Pass
  6. 7A Merit question, in the pass🔒 Pass
  7. 8A Merit question, in the pass🔒 Pass

EExcellence

  1. 9A Excellence question, in the pass🔒 Pass
  2. 10A Excellence question, in the pass🔒 Pass