Derivative

1103164701

Level: 
A
The graph of \( f \) is given in the figure, where \( A \), \( B \) and \( C \) are points on the graph. If \( x_A \), \( x_B \) and \( x_C \) denote the \( x \)-coordinates of the points the \( A \), \( B \) and \( C \), and if \( f' \) is the derivative of \( f \), then:
\( f'( x_A ) > f'( x_B ) > f'( x_C ) \)
\( f'( x_A ) < f'( x_B ) = f' ( x_C ) \)
\( f'( x_A ) > f'( x_B ) = f'(x_C ) \)
\( f'(x_A ) < f'( x_B ) < f'( x_C ) \)
\( f'( x_A ) = f'( x_B ) > f'( x_C ) \)

1103164702

Level: 
A
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:
\( f'( x_A ) > 0 \), \( f'( x_B ) = 0 \), \( f'( x_C ) < 0 \)
\( f'( x_A ) > 0 \), \( f'( x_B ) > 0 \), \( f'( x_C ) < 0 \)
\( f'( x_A ) < 0 \), \( f'( x_B ) = 0 \), \( f'( x_C ) < 0 \)
\( f'( x_A ) < 0 \), \( f'( x_B ) = 0 \), \( f'( x_C ) > 0 \)