6. (a) Suppose : RR is a differentiable function defined implicitly: where c E R. Carefully state the implicit function theorem as it applies to (x) . (b) Consider the special case where(T) is defined by: and C = 4 Use the implicit function theorem to determine whether 2 can be expressed as a function of 1 around the point " = (0 1). What is the equation of the tangent to the object described by () = 4passing through