given the function g(x)=m(-2x+2)^5 -n, where m and n don't equal zero and are constants. find g'(x) and g"(x)

g(x)=m(-2x+2)^5 -n

just plain old chain rule
g'(x) = 5m(-2x+2)^4 (-2) - 0
= -10m(-2x+2)^4

g''(x) = -40m(-2x+2)^3 (-2)
= 80m(-2x+3)^3