1. Find the tangent equation of curve y = x -2x-4x + 2 at point (1, - 3). 2. For each of the following f, findf' (a) for the given a. (a) f(x) =x -2x +6, a = 2 (b) f (x) = Vx- a = 3 (c) f(x) =(>+1)(2x+3) a=1 x+1 (d) f (x) = 3x-5 a = 2 (e) f (x)=x3/5 +2x1/5 a = 327. Find the second derivative dx of the following function, (a) y = 2x +inx (b) y = xcosx (c) y = Va -x2 (d) y = In (1-x) 1 (e) y= 3+1 [points 10] 8. Given that f(x) and g (x) is differentiable, and f?(x) + g(x) + 0, try to find the derivative of function y = f'(x) +g (x) [points 5]3. d It is known that - sinx = cosx. For each of the following y, find dy dx' (a) y = xsinx' (b) y = xinxsinx Xu15 (c) y = + sinx (d) y = sin'x xsinx (e) y= 1+x