Do you know how to solve this problem? Details below

Thank you so much for all your help!

For each of the following functions, find (a) the domain, the horizontal asymptote(s), the vertical asymptote(s) (b) the first derivative, critical numbers; the open intervals where the function is increasing; the open intervals where it is decreasing; the relative minima; the relative maxima of the function derivative of the function (c) the second derivative, the open intervals where the function is concave up; the open intervals where it is concave down; the point(s) of inflection (d) use the information in (a) - (c) to sketch a graph of the function 4. h(x) = 4x2 x2+4 10pts