Project ID:
7200020191
Accepted:
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:
$f'(x) < 0,~f''(x) > 0$