.
Use standard tables for derivatives of basic functions.
http://www.math.com/tables/derivatives/tableof.htm
http://www.mathcentre.ac.uk/resources/Engineering%20maths%20first%20aid%20kit/latexsource%20and%20diagrams/8_2.pdf
https://en.wikibooks.org/wiki/Calculus/Tables_of_Derivatives
Actually, you need to know these tables as the multiplication table . . .
If f(x) = + , then
f'(x) = + .
Regarding your first function, I can not distinct between
y = - ln(x^4) + and y = - (ln(x))^4 + .
Use parentheses to make your formulas unambiguous.