Higher Maths
Basic Differentiation
What you need to be able to do:

Differentiate an algebraic function which is, or can be simplified to, an expression in powers of x.

Differentiate ksin(x), kcos(x).

Differentiate a composite function using the chain rule.
Looking at the last couple of papers, you can probably expect a question early in paper 1 to be a basic differentiation where you'll have to sort out indices or use the chain rule.
2015 Paper 1
Here's some questions on basic differentiation from the old, old past papers
2016 Paper 1
2017 Paper 1