Explain the difference between the average rate of change of y as x changes from

Question

Explain the difference between the average rate of change of y as x changes from a to b, and the instantaneous rate of change ofy at x=a. OA. The average rate of change of y as x changes from a to b can be found by using the formula f(b)-f(a)where y = f(x) , The instantaneous rate of change of y at x = a is found by taking the limit as b approaches a of the stated formula OB. The average rate of change of y as x changes from a to b can be found using the formula f(b)+ f(a) -ba-, where y = f(x) The instantaneous rate of change of y atx- a is found by taking the limit as b approaches a of the stated formula The instantaneous rate of change of y at xe a can be found using the formula bta of change of y as x changes from a to b is found by taking the limit as b approaches a of the stated formula. The instantaneous rate of change of y at x a can be found by using the formula rate of change of v as x changes from a to b is found by taking the limit as b approaches a of the stated formula. Oc. e formula Ib) + f(a) -ma-, where y = f(x) The average rate D. f(b)-f(a) b-a where y Click to select your answer

Explanation / Answer

The formula for average rate of change is (f(b)-f(a))/(b-a) and for instantaneous rate we have to differentiate the function or by taking the limit of the average rate of change function.

So the correct option is A

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