Loading the lesson
Loading the lesson
Search AllRounder.ai
Search the courses, subjects, tracks, games and features, or jump straight to a page.
Search the courses, subjects, tracks, games and features, or jump straight to a page.
4 cards from this section. Quick, good the night before a test.
What indicates a local maximum when applying the second derivative test?
Remember the signs of the second derivative.
If f''(c) = 0, what does this imply about the critical point?
Think about other tests you might need.
What is the result if the second derivative at a critical point is zero?
Remember how you classify critical points.
If f''(c) < 0, what can we say about f(c)?
Consider the concavity of the graph!
Given the function f(x) = x^4 - 4x^2, find the critical points and classify them using the second derivative test.
Re-evaluate the behavior around x = 0 for further insights.
Using f(x) = sin(x), identify all critical points in the interval [0, 2π] and classify them using the second derivative.
Address the periods of the sine function to examine critical points effectively.
5 more questions in this section. Enroll free to practise them all.
Enroll free