1a. Find the slope of the tangent to the curvey= 3 + 4x2?2x3at the point where

x=a.

1b. Find the equations of the tangent lines at the points (1,5).

2.Using the definition of derivative, find the derivative of the functionf(x) =

?8?2x. State the domain of the function and the domain of its derivative.

3.The graph offis given. State, with reasons, the numbers at whichfis not differentiable

(1) (40pt) (a) Find the slope of the tangent to the curve y = 3 + 4x2 - 2x3 at the point where * = a. (b) Find the equations of the tangent lines at the points (1, 5). (2) (30pt) Using the definition of derivative, find the derivative of the function f(x) = V8 -2x. State the domain of the function and the domain of its derivative. (3) (30pt) The graph of f is given. State, with reasons, the numbers at which f is not differentiable YA O 2 0 2 4 X