Key to "What are the Increasing and Decreasing Functions?"

Globokim8

Answered question

2021-05-16

What are the Increasing and Decreasing Functions?

Answer & Explanation

Alannej

Skilled2021-05-18Added 104 answers

Step 1
We have to define the increasing and decreasing functions.
We determine increasing and decreasing functions on the basis of derivatives of that functions.
If derivatives of function is negative in an open interval then function is said to be decreasing
and if derivatives of function is positive in an open interval then function is said to be increasing.
Step 2
If we have function $y = f (x)$
then its derivatives will be $\frac{d y}{d x} = \frac{d f (x)}{d x} = f^{'} (x)$
So if $f^{'} (x) < 0$ then function is decreasing in an open interval
and if $f^{'} (x) > 0$ then function is increasing in an open interval.

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