Applications of Differentiation : Exercise 1

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Introduction
Exercise 1 will focus more on finding and determine
  • The turning point
  • The minimum and maximum points
  • The inflexion point and
  • Curve sketching according to those points using second-order differentiation method.
  1. Find the coordinates of the stationary points of each of the following functions. Determine the nature of the turning points and sketch the graph.

  2. Find the coordinate of the turning points for following graph and determine its nature. Sketch the graph.

  3. Find the coordinates of the turning point of the following graphs. Determine also the nature of the turning points and sketch the graph.