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].