According to Kleiber's Law, the metabolic rate P (in kilocalories per day) and body mass m (in kilograms) of an animal are related by a three-quarter power law: P = 73.3m^(3/4).

Estimate the increase in metabolic rate when body mass increases from 77 to 78 kg. (Round your answer to three decimal places.)

I tried finding the derivative and plugging in 77, but it didn't give me the right answer. I keep getting 18.559, but it's not right and I don't know why.

Question

According to Kleiber's Law, the metabolic rate P (in kilocalories per day) and body mass m (in kilograms) of an animal are related by a three-quarter power law: P = 73.3m^(3/4).

Estimate the increase in metabolic rate when body mass increases from 77 to 78 kg. (Round your answer to three decimal places.)

I tried finding the derivative and plugging in 77, but it didn't give me the right answer. I keep getting 18.559, but it's not right and I don't know why.