Answer :
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.
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.
Answer:
You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing. The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate
Step-by-step explanation: