due at 8pm Greenwich Mean Time (GMT)

Name:

1. Calculate:

1. Calculate:

1. Calculate:

1. Find:

1. Find the derivative of:

1. Find:

1. Determine the equations of the line to the graph of:

1. Given that: , use this to isolate any/all critical points of f and determine the intervals over which f is decreasing.

1. Find the derivative of:

1. Find the derivative of:

1. Find:

1. Find the derivative of:

1. Find:

1. Find the derivative of:

2. Use implicit differentiation to find a formula for y’ when:

1. A 12-foot ladder is leaning against a wall. The ladder slips and begins to fall. If the foot of the ladder moves away from the wall at a constant rate of 2 feet per second, how fast is the top of the ladder approaching the ground when the base is 7 feet away from the wall?

1. Find the second derivative of:

1. Determine:

1. Determine:

1. Determine: