Mark the critical points on the following graph. 2 , 1 4 -3 -2 3 -2 -3 -4 -5- Clear All Draw: Dot

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A: We have to choose correct option for given question.

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A: Critical point is defined when f'(x) =0. In the graph, we can see that f'(x)=0 when x= -2.

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A: Option A is the correct option. Find the critical points for f(x). Equate f’(x) to 0 and find x.

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A: f'' is negative implies maximum f'' is positive implies minimum

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A: f'(x) is greater than 0 when f(x) increasing.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: