1) f(x) = ax^4 if |x| >= 1

(x^2) + b if |x|<1

I need to find a and b to make f continuous and differentiable everywhere.

I have no idea how though?

2) a)I need to find the domain and range of the derivative of h(x) = x + sqrt[x] which i found to be 1 + .5x^(-.5).

I was never good at finding domain and range.

b) determine, in standard form, the equation of the line normal to the curve, y = h(x), at point (1, h(1)).

(in case anyone doesnt know, normal means perpendicular to the tangent line)