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

Question

ramen · Answer

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

darkknight · Answer

same thing?

ramen · Answer

No

ramen · Answer

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

darkknight · Answer

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

ramen · Answer

Is that like the inverse of this function?

ramen · Answer

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

darkknight · Answer

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

darkknight · Answer

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

darkknight · Answer

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

ramen · Answer

attachment

ramen · Answer

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