**1. Can functions with roots and surds be differentiated?**

Yes, provided that they are written in index form first.

**2. Why is the derived function of a function such as f(x) = c, where c is a constant, always 0?**

Because f(x) = c is a horizontal straight line whose

gradientis 0.

**3. Is it possible to differentiate an expression with brackets in?**

There are ways to differentiate with the brackets still there, but at this level it is simpler to expand them first.

**4. Is it possible to differentiate every function?**

Some parts of some functions are not differentiable.

e.g. In an

absolute valuefunction or a piecewise function if the graph is pointed the function is not differentiable.If a particular function is

not continuousi.e. You have to lift your pen off the paper when sketching the graph, say with asymptotes,then it cannot be differentiated at that point.