I am unsure as to which forum to put this in. I took a shot and put it here, apologies if wrong.
Okay, to the question I am having trouble with.
"Find the average rate of change of with respect to x from to . [4 marks]"
My attempt to answer:
*I am unsure if I am correct in square rooting the 16, so having 4 + the square root of h.*
Then I use the formula to get the slope of the secant *rate of change*:
That's my final solution. My problem with this solution is when I sub a number in for h, I get a different answer from running the numbers through, and simply going *square root of the number divided by the number*.
Let's pretend h is 20.
So I have .
I can sub in 20 for h:
Run that through the slope formula:
Then, using my average rate of change thing: I get:
which is a completely different answer. So I must be doing something wrong here.
Okay, I tried using 25 for h in the and it gives the same ansewr as running the math through. So it is not technically h, but it is h + 5, so is this actually right??? I see that as: which I think is different, please correct me, I am so confused.
EDIT:There, I have successfully turned this into something readable using latex