Answer:
8
Step-by-step explanation:
First, let's find the derivative of the equation.
According to one of the rules of derivatives, d/dx tan(x) = sec²(x)
We also don't mess with the 2 since it's a constant
f'(x) = 2sec²(x)
Now just plug in 2π/3
2sec²(2π/3) = 8
Instantaneous rate of change is 8 at x = 2π/3
