Question

Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.

Answer 1

The rate of growth is the first derivative.

f(x) = x2

f'(x) = 2x

g(x) = 1000x2

g'(x) = 2000x

f'(x) ≠ g'(x)

f(x) and g(x) DO NOT grow at the same rate.