How to find instantaneous rate of change for f ( x ) = ln ⁡...

woowheedr

woowheedr

Answered

2022-07-02

How to find instantaneous rate of change for f ( x ) = ln ( x ) when x=0?

Answer & Explanation

Keely Fernandez

Keely Fernandez

Expert

2022-07-03Added 14 answers

The instantaneous rate of change is also defined as the derivative, so all we're asked to do is to take a derivative using some essentials rules, such as the the following:
d d x [ ln u ] = u u
Letting u = x d u = d x, and so
f ( x ) = 1 x f ( 0 ) = 1 0 = 0
The instantaneous rate of change is, in this case, 0.

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