Asked by George
Show that f(x) = x^3 and g(x) = 200x^3 grow at the same rate.
Answers
Answered by
Anonymous
If by "same" you mean the same percentage per unit time, then
f'/f = 3x^2/x^3
g'/g = 600x^2/200x^3 = 3x^2/x^3
Naturally, since g started out with 200 times as much, its actual growth rate is 200 times as much as f's.
f'/f = 3x^2/x^3
g'/g = 600x^2/200x^3 = 3x^2/x^3
Naturally, since g started out with 200 times as much, its actual growth rate is 200 times as much as f's.