Use the formula for instantaneous rate of change, approximating the limit by using smaller and smaller values of hh , to find the instantaneous rate of change for each function at the given value. f(x)=x^{x} at x=2

Step-by-step explanation:

Given

at

Required

The instantaneous rate of change

We have:

The instantaneous rate of change is:

implies that:

So, we have:

Keep reducing h but set a constant at 2

Notice that:

for and

Hence, the instantaneous rate of change is:

---- approximated

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕

the answers are in the images, i received 100% on this assignment. hope this !