The question says find apex, low point and the monotonic properties of the functions. a) b) c)...
To find intervals, I use the abc-formula. Example:
f(x) = 3x^3 - 3x
d/dx * f(x) = 3 * 3x^2 - 3, here a=3*3, b= -3 and c=0 (because there is none)
x1 = ( -b + sqrt(b^2 + 4*ac) ) / 2a
x2 = ( -b -...