Derivative on Mount Říp

Submitted by michaela.bailova on Mon, 12/16/2024 - 13:31

Project ID:

7200020191

Accepted:

SubArea:

Type:

Layout:

Question:

The picture shows a photo of Mount Říp. Its silhouette is highlighted by the graph of thefunction

f

. Pair the points on this graph (each point has coordinates

[x, f (x)]

) with the corresponding values of the derivatives.

Unfolding Image:

Questions Title:

Points

Answers Title:

Values of the Derivatives

Question 1:

Point

A

Answer 1:

f^{'} (x) > 0, f^{″} (x) > 0

Question 2:

Point

B

(inflection point)

Answer 2:

f^{'} (x) > 0, f^{″} (x) = 0

Question 3:

Point

C

Answer 3:

f^{'} (x) > 0, f^{″} (x) < 0

Question 4:

Point

D

(top)

Answer 4:

f^{'} (x) = 0, f^{″} (x) < 0

Question 5:

Point

E

Answer 5:

$f^{'} (x) < 0, f^{″} (x) < 0$

Question 6:

Point

F

Answer 6:

f^{'} (x) < 0, f^{″} (x) > 0

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