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AS91578 Differentiation

Tangents and normals

AAchieved

  1. 1A curve has equation y = e^(3x) sin x. Find the exact gradient of the curve at the point where x = π/4.Free
  2. 2A curve has equation y = x ln x, for x > 0. Find the gradient of the normal to the curve at the point where x = e.Free
  3. 3The profile of a ski slope is modelled by h = 40e^(−x/50), where h is the height in metres above the base and x is the horizontal distance in metres. Find the gradient of the slope when x = 50.Free
  4. 4A Achieved question, in the pass🔒 Pass

MMerit

  1. 5A Merit question, in the pass🔒 Pass
  2. 6A Merit question, in the pass🔒 Pass
  3. 7A Merit question, in the pass🔒 Pass
  4. 8A Merit question, in the pass🔒 Pass
  5. 9A Merit question, in the pass🔒 Pass
  6. 10A Merit question, in the pass🔒 Pass

EExcellence

  1. 11A Excellence question, in the pass🔒 Pass
  2. 12A Excellence question, in the pass🔒 Pass