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Mathematics 15 Online
ramen:

Find the average rate of change of the function f(x)=2 ⋅ x^4 on the interval on the interval 2 ≤ x ≤ 4

ramen:

Btw this has to do with something about power functions so the function isn't 2x^4 it is 2*x^4

darkknight:

same thing?

ramen:

No

ramen:

I know the answer to this but I just don't know how to get to it.

darkknight:

You want to find the first derivative of the function first.

ramen:

Is that like the inverse of this function?

ramen:

The anwer is 992/5 but I just need to know the work to get to the answer.

darkknight:

That is the derivative formula f(x) -f(a)/(x-a)

darkknight:

(f(x) - f(a))/(x-a)

darkknight:

. It is just calculating the slope (average rate of change over that interval). Just take y2 - y1 over x2-x1

ramen:

1 attachment
ramen:

If I did the y2-y1 thingy, the anwer would be 240 but that isn't correct....

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