Used:
Functions have the same derivatives if they differ a constant.
h(x) = f(x); g(x) = f(x) + const.
h'(x) = f'(x)
g'(x) = (f(x) + const.)' = f'(x) + (const.)' = f'(x) + 0 = f'(x)
h'(x) = g'(x)
Therefore yuor answer is A. f'(x)=g'(x)
Used:
What weight is shown ?
1 answer:
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Answer:
Average rate of change for the function over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is:
The formula used to find average rate of change is:
We have, a = -1 and b = 1
Finding f(b) when b=1
Now, finding f(a), when a= -1
Now, putting values and finding average rate of change
So, average rate of change for the function over the interval -1<x<1 is -1