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

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step-by-step explanation: