Find the limit of the difference quotient for the function f (x) given, to obtain a function that represents the instantaneous rate of change at x for the function.

Question

Find the limit of the difference quotient for the function f (x) given, to obtain a function  that represents the instantaneous rate of change at x for the function.

Quizplus · Accepted Answer

The limit of the difference quotient for the function f(x) is given by:

lim h→0 [f(x+h) - f(x)]/h

This represents the instantaneous rate of change at x for the function.

In the given options, only option B represents the correct function in the required format (indicated by the '_' symbols). Therefore, the correct answer is B.

Find the Limit of the Difference Quotient for the Function