Differentiable and Increasing Function Quiz

The function f is differentiable and increasing on the interval 0 < x < 6, and the graph of f has exactly two points of inflection on this interval. Which of the following could be the graph of f', the derivative of f?

• 
• 
• 
• 

The graph of f', the derivative of the function f, is shown above. Which of the following could be the graph of f?

• 
• 
• 
• 

The graph of f'', the second derivative of the function f, is shown above on the interval 0 ≤ x ≤ 8. Which of the following could be the graph of f'?

• 
• 
• 
• 

The function f is differentiable and decreasing on the interval 0 < x < 6, and the graph of f has exactly two points of inflection on this interval. Which of the following could be the graph of f', the derivative of f?

• 
• 
• 
• 

The graph of f', the derivative of the function f, is shown above. Which of the following could be the graph of f?

• 
• 
• 
• 

The graph of f'', the second derivative of the function f, is shown above on the interval 0 ≤ x ≤ 6. Which of the following could be the graph of f'?

• 
• 
• 
•