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2 cards from this section. Quick, good the night before a test.
Find the critical points of f(x) = 2x^2 - 4x + 1.
Consider where the derivative changes signs.
Is f(x) = x^2 increasing or decreasing at x = 1?
Check the derivative value at that point.
What does the First Derivative Test help to determine?
Remember the test focuses on the behavior around critical points.
True or False: If the derivative at a critical point is positive, the function has a local minimum.
Consider what it means for a function to be increasing or decreasing.
Find all critical points of f(x) = sin(x) on the interval [0, 2π] and classify them.
The derivative of sin(x) is cos(x); set it to zero for critical points.
A farmer wants to enclose a rectangular field with a fixed perimeter of 100m. What dimensions will maximize the area?
Use the area formula and derivative to find critical points.
4 more questions in this section. Enroll free to practise them all.
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