Applications of Differentiation - Interpreting Gradients and Concavity

Applications of Differentiation - Interpreting Gradients and Concavity

State the maximal range of values of \(x\) for which the graph of \(y=\mathrm{f}\left( x \right)\) is

  1. strictly decreasing,
  2. decreasing,
  3. concave upwards,
  4. concave downwards.

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Answer:(a) \(x<1\) or \(x>1\) (b) \(x<1\) or \(x>1\) (c) \(x>1\) (d) \(x<1\)

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