rate of change of functions: f'(x) = 3x from x = 0 to 5

[bandaidgirl]

f'(x) = 3x from x_1 = 0 to x_2 = 5

I am not sure how to type this but the subscripted "1" goes with the first x and the "2" goes with the second x. It's at the bottom of the letter.

Please explain how to do this. I haven't a clue what to do or where to begin.
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Edited by stapel -- Reason for edit: formatting

 

[tkhunny]

Do you have a definition for "Rate of Change"?

You can just type X1 and X2 for subscripts. It's a little awkward, but we get it.

 

[tkhunny]

If what you want is the AVERAGE rate of change, you should say that. There is much value in quoting the ENTIRE problem statement.

I believe you have f(x) = 3x.

The average rate of change, from x=0 to x=5 is, according to the formula:

[f(5)-f(0)]/(5-0) = (3*5 - 3*0)/(5-0) = (15-0)/5 = 15/5 = 3