relate to the function f(x)=(54/x)+x^2.

1. What is the value of x at the turning point?

2. What is the value of f(x) at the turning point?

3. What is the value of f''(x), i.e. the second derivative, at this value of x?

4. Based on your answer to Question 3, the turning point is a...?

Minimum or Maximum?

relate to the function 100x^0.5-2x.

5. What is the value of x that maximizes this function?

6. What is the value of f(x) at this value of x?

7. What is the value of f''(x), i.e. the second derivative, at the maximum? It should be negative since you have identified a maximum. (Use Google to evaluate it.)