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AS91578 Differentiation

Maxima, minima and points of inflection

AAchieved

  1. 1A curve has equation y = x + 2cos x, for 0 ≤ x ≤ 2π. Find the x-coordinates of the stationary points on the curve. Give exact values.Free
  2. 2Consider the function y = x²e^(−x). Find the values of x at which the gradient of the function is zero.Free
  3. 3A function is given by y = 4xe^(−x²/2). Find the values of x for which the function is increasing.Free
  4. 4A Achieved question, in the pass🔒 Pass
  5. 5A Achieved question, in the pass🔒 Pass

MMerit

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

EExcellence

  1. 10A Excellence question, in the pass🔒 Pass
  2. 11A Excellence question, in the pass🔒 Pass