Calculus I - Week 8
Quiz
Answer every question, then submit for automatic grading. 80% or above passes.
Question 1 · easy
Find the critical points of f(x) = 2x^3 - 3x^2.
Question 2 · medium
Find the local max of f(x) = x^3 - 3x^2 + 4.
Question 3 · medium
Where is f(x) = x^3 - 12x + 5 increasing?
Question 4 · easy
Find the inflection point of f(x) = x^3 - 3x.
Question 5 · medium
Find the absolute min of f(x) = x^2 - 6x on [0, 6].
Question 6 · challenge
Apply MVT to f(x) = x^3 on [0, 2]. Find c.
Question 7 · medium
Is x=0 a local max or min for f(x) = x^2 + 4x?
Question 8 · medium
Find the interval where f(x) = x^3 + 3x^2 is concave up.
Question 9 · easy
If f'(c) = 0 and f''(c) > 0, what can you conclude?
Question 10 · medium
Find the absolute max of f(x) = -x^2 + 4x on [0, 5].