Lorentz Transformation: Proving θμ Covariant Vector

[helpcometk]

Homework Statement

Given that the derivative θ_μ transforms as a covariant vector ,show that θ^μ transforms as a contravariant vector.

Homework Equations

Please look the attachement

The Attempt at a Solution

Does anyone know how i should go to prove it ?Is it just a trivial substitution ?

 

[gabbagabbahey]

Homework Statement

Given that the derivative θ_μ transforms as a covariant vector ,show that θ^μ transforms as a contravariant vector.

Homework Equations

Please look the attachement

The Attempt at a Solution

Does anyone know how i should go to prove it ?Is it just a trivial substitution ?

What are θ_μ & θ^μ supposed to mean exactly? Uf the problem is just to show that $\frac{\partial}{\partial x_\mu}$ transforms as a contravariant vector, just try an analogous proof to the covariant case in your image. If you get stuck, show your work.