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Problem

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2 Nov 2021

Given information

Given the graph of the derivative of a function :

Step-by-step explanation

Step 1.

is a point of local minima if has the smallest value among the neighbouring values of  . 

If   changes its sign from negative to positive at a point , we say that \[a\] is a point of local minima.

Now, at  , changes its sign from negative to positive.

Thus, the function  has a local minima at .

Also, at , changes its sign from negative to positive.

Thus, the function  has a local minima at .

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