Applications of Differentiation - Interpreting Gradients and Concavity
Applications of Differentiation - Interpreting Gradients and Concavity
Given that \((3,0)\) is a point of inflection of \(y=\mathrm{f}\left( x \right)\). State the maximal range of values of \(x\) for which the graph of \(y=\mathrm{f}\left( x \right)\) is
- strictly decreasing,
- decreasing,
- concave upwards,
- concave downwards.
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Answer:(a) \((-\infty,0)\cup(0,2)\cup(4,\infty)\) (b) \((-\infty,0)\cup(0,2]\cup[4,\infty)\) (c) \((0,3)\) (d) \((-\infty,0)\cup(3,\infty)\)
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