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)