How to rotate object to cursor?

// Take mouse position
mouse = Input.mousePosition;
castPoint = Camera.main.ScreenPointToRay(mouse);

// Take coordinates for Vector

// And make a direction
movement=new Vector2(x,y);

But nothing happen
In 2D game*

I think this should do what you are asking for.

First add these variables:

     public float RotationSpeed;
     private Quaternion lookRotation;
     private Vector3 direction;

I think this is what you should use as your script:

	public void Update()
		mouse = Input.mousePosition;
 		castPoint = Camera.main.ScreenPointToRay(mouse);
		//I'm not sure if castPoint has a position in it or not, but if when you type castPoint.transform.position
        direction = (castPoint.- transform.position).normalized;
        //create the rotation we need to be in to look at the target
        lookRotation = Quaternion.LookRotation(direction);
        //rotate us over time according to speed until we are in the required rotation
        transform.rotation = Quaternion.Slerp(transform.rotation, lookRotation, Time.deltaTime * RotationSpeed);

I used this script for reference, I don’t know what a lot of this actually means (or how Quaternions actually work) but this is my holy grail reference for rotating:

Let me know if that works if if you have other questions.