Test
Function analysis using derivatives
This test uses the first derivative to analyse a function. Tasks include finding critical points, intervals of increase and decrease, local extrema and absolute maximum or minimum values.
Time left: 00:00:00
Sample questions
- For f(x) = ___x² + (___)x, find the critical x where f′(x) = 0.
- The derivative is f′(x) = 2(x − (___)). Where is f increasing?
- The derivative is f′(x) = 2(x − (___)). Where is f decreasing?
- What extremum occurs at the vertex of f(x) = ___x²?
- On [___, ___], f(x) = ___(x − (___))². Find the maximum value.
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