1. In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules.

2. Let f be any function. The derivative function of f is defined as: provided the limit exists Other notations:

3. Use the definition of derivative to find the derivative of the function.

7. Let n be any real number (not necessarily an integer). Then:

8. Find the derivative of each of the following functions. (a) (b) (c)

9. Let f be any differentiable function, let k be any constant, and let. Then:

10. Let f and g be any differentiable functions, and let. Then:

11. Find the derivative of each of the following polynomials. (a) (b) (c)

12. Give the equation of the tangent line to the curve at the point (1, 3).