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) \(0<x<b\) (b) \(0<x\le b\) (c) \(x<0\) or \(x>0\) (d) \(\varnothing\)

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