Make up derivative questions which meet the following criteria. Give two examples of each. Then take the derivative. Do not simplify your answers. A) An equation which uses quotient rule involving a trig ratio and exponential (not base e) and the chain rule used exactly twice. B) An equation which uses product rule involving a trig ratio and an exponential (base e permitted). The chain rule must be used for each of the trig ratio and exponential. C) An equation with a trig ratio as both the 'outside' and 'inside' operation. D) An equation with a trig ratio as the 'inside' operation, and the chain rule used exactly once. E) An equation with three terms; the first term has base e, the second has an exponential base (not e) and the last is a trig ratio. Each of the terms should have a chain application