Calculus - Derivatives

Question 1

How many points of inflection are in the intervals [-6,7]? (READ & LOOK CAREFULLY!!!)

Accepted Answer

Four

Question 2

Which of the labeled points are inflection points of f? (READ & LOOK CAREFULLY!!!)

Accepted Answer

B & D

Question 3

What's the correct calculus-based justification when f has a inflection point x = c?

Accepted Answer

f''(x) crosses the x-axis from below it to above at x = c

Question 4

Hint: What is the question looking for?

Accepted Answer

(-1, 1/2)

Question 5

Hint: Look at what the question is asking!

Accepted Answer

2

Question 6

Read carefully1!!1!

Accepted Answer

4 < t < 5

Question 7

What is it?

Accepted Answer

the derivative, the derivative, the derivative, the derivative

Question 8

Which x-value is the leftmost inflection point in the graph g?

Accepted Answer

x = -3

Question 9

What is an appropriate calculus-based justification for the fact f is concave down?

Accepted Answer

f'' is negative

Question 10

Hint: Find the critical point that deals with CONCAVITY!

Accepted Answer

(2,3) is a minimum point

Question 11

Hint: Find the critical point that deals with CONCAVITY!

Accepted Answer

(-2,2) is a maximum point

Question 12

How many points of inflection over the intervals [-6,8]? (READ & LOOK CAREFULLY!!!)

Accepted Answer

0

Questions 12