On the Richter Scale, the Magnitude R of an Earthquake

Multiple Choice

On the Richter scale, the magnitude R of an earthquake is given by the formula where I is the intensity of the earthquake being measured and I₀ is the standard reference intensity. Suppose an earthquake is measured with a magnitude of 5 on the Richter scale with an error of at most 2%. Use differentials to find the error in the intensity of the earthquake. Round your answer to the nearest integer. ​

A) 23,026I₀
B) 23,086I₀
C) 22,966I₀
D) 22,906I₀
E) 23,146I₀