I'm trying to solve the question for f(x)= x + sin x find the average rate of change of f(x) for
i) [0, pi / 2]
I think the formula is f(b)-f(a) / b-a
in which this case we would have
pi/2 + sin pi/2 - sin0 / pi/2 - 0
I'm not sure if I got this right though.
Edit: Okay so I got my formula:
change over y / change over x
f(x2) - f(x1) / fx2 - fx1
In the above scenario I think we have to factor out something to eliminate the denominator but I'm not sure how to do it.
Okay so I can factor out pi/2 and end up with
pi/2 (sin 1) / pi/2
I can then cross out pi/2 from the numerator and denominator. This leaves us with sin 1.
I remember some problems where I would turn to the unit circle, find the location and then find sin by finding y/r or something similar.
However, in this case I don't really know what sin 1 is since usually there is a pi somewhere.