Exercises

For each of the following functions f, (i) find f'(x) using the procedure outlined above. (ii) Use this to find f'(a) at the indicated point (iii) write out the equation for the line passing through (a,f(a)) with slope f'(a) (iv) plot the graph of f and the graph of this line. (You may use your calculator for the plots.)

1. f(x) = 3x+5, a = 2.
2. , a=.5.
3. , a = -1.
4. , a = 0.
5. , a= 2.
6. , a = 1.