1103164702

SubArea: 
Derivative
Level: 
A
Project ID: 
1103164702
Source Problem: 
1103164704
Accepted: 
1
Clonable: 
1
Easy: 
1
The graph of \( f \) is given in the figure, where \( A \), \( B \) and \( C \) are points on the graph and \( y \)-coordinate of the point \( B \) is the maximum value of the function \( f \). If \( x_A \), \( x_B \) and \( x_C \) denote the \( x \)-coordinates of the points \( A \), \( B \) and \( C \), and if \( f' \) is the derivative of \( f \), then:
\( f'( x_A ) > 0 \), \( f'( x_B ) = 0 \), \( f'( x_C ) < 0 \)
\( f'( x_A ) > 0 \), \( f'( x_B ) > 0 \), \( f'( x_C ) < 0 \)
\( f'( x_A ) < 0 \), \( f'( x_B ) = 0 \), \( f'( x_C ) < 0 \)
\( f'( x_A ) < 0 \), \( f'( x_B ) = 0 \), \( f'( x_C ) > 0 \)