finding the equations of tangent lines and

Question

Finding the equations of tangent lines and critical points.

Conjecture consider the functions f(x) = ½ x² and g(x) = 1/16 x⁴ - ½ x² on the domain [0,4].

Find the equations of the tangent lines to the graphs of f and g at the critical number found. Graph the tangent lines. What is the relationship between the lines?