Answer: f(3)
Step-by-step explanation:
First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.
Implicitly differentiate the left side and take the derivative of the right side
Multiply both sides by 'y' which was defined as 2^x
Plug in x = 2 and x = 3 to see which slope is larger