1.Sketch the graph of a function for which f(0) = 2, f 0 (0) = 1, f 0 (1) = 0, f 0 (2) = 3, f 0 (1) = 0, f 0 (2) = 2.

2.Let f(x) = 4x 2 x. Find f 0 (3) and use this to find an equation of the tangent to the curve y = 4x 2 x at the point (3, 33).

Let f(x) = 2x x 2 1 . Find f 0 (2) and use this to find an equation of the tangent to the curve y = 2x x 2 1 at (2, 4 3 ).

Find f'0 (a) when f(x) = 3x 2 4x + 5.

Find f'0 (a) when f(x) = x 2.

) Find f'0 (a) when f(x) = 2 x 3 + x .