How do you find the instantaneous rate of

Rubi Riggs

Rubi Riggs

Answered question

2022-04-15

How do you find the instantaneous rate of change of f at x=a?

Answer & Explanation

gsmckibbenx7ga

gsmckibbenx7ga

Beginner2022-04-16Added 17 answers

By definition, the instantaneous rate of change of f at x=a is the limit of average rates of change.
The average rate of change can be written in different ways.
Because of this, the instantaneous rate of change of f at a can be written as either:
limxaf(x)f(a)xa
or
limh0f(a+h)f(a)h
In either case, attempting to find the limit by substitution lead to the indeterminate form 00. So techniques need to be developed to evaluate these limits. The techniques used depend on the function f.

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