Let f'(x)=4x^3-12x^2.
(a) find three different functions with derivative equal to f'(x). how are the graphs of the three functions related?
the only one that i can figure out is:
f(x)=x^4+4x^3+y where y can equal any constant.
any help on figuring out the other two would help, thanks.
let y=1, 0, -50, 34
all those are different functions.
how are they different? they are displaced in vertical on a graph, but in all instances, they are equidistant along the functions.