summergirl
New member
Consider the functions f(x)= x^3 , g(x)= x^4 and h(x)= -x^4
a)Show that x=0 is a critical number of each of the functions f, g and h
b) Show that the second derivative of each of the functions f, g and h equals zero at x=0
c) Show that f has neither a relative maximum nor a relative minimum at x=0, that g has a relative minimum at x=0, and that h has a relative maximum at x=0
a)Show that x=0 is a critical number of each of the functions f, g and h
b) Show that the second derivative of each of the functions f, g and h equals zero at x=0
c) Show that f has neither a relative maximum nor a relative minimum at x=0, that g has a relative minimum at x=0, and that h has a relative maximum at x=0