Instantaneous rate of change can be found by finding the derivative of the equation.
a) Given the function
The equation in this particular problem can be rewritten as follows:
The derivate is
From here we can plug in our given, x=2, and get the answer
Answer: -1/2
b) The function
Applying the power rule for derivatives
And we can plug in our given, x=2, and get the answer
Answer: 9.89