In the United States: Obviously President Trump has created a media storm in his first weeks in office and is not afraid of rattling previously sacred institutions. His criticism and almost rejection of the Judiciary's decision to stop his ban led to a tirade of invective challenging one of the pillars of the US Constitution. It will be interesting to monitor how he proceeds with this in the future as this could fundamentally alter the relationship between the three branches of power in the US and not necessarily for the better.
In the United Kingdom there is a much more reserved debate but certainly with the same implications. The Supreme Court now has a very specific remit to interpret the laws and make sure the Executive and public bodies are not overriding those laws. Therefore the recent decision in the Supreme Court that Theresa May did not have the prerogative power to simply trigger Article 50 and Parliament MUST have a say was a big test of this independence. The Executive is not used to being told what to do.. and the right wing elements in the Press were also not shrinking violets when it came to criticism of the Judges decisions. This has prompted a rebuke from the President of the Supreme Court: Lord Neuberger. This article is essential reading and is fantastic for any Judiciary answer on your exam.