Some Basic Calculus about Favorite Numbers

Calculus Level 3

How many critical points does the graph have? Find them and submit your answer as

(sum of critical points) × (total # of critical points) − (total # of critical points) . \text{(sum of critical points)} \times \text{(total \# of critical points)}-\text{(total \# of critical points)}.

Just give your answer by observing the graph carefully. If needed, you can zoom in the graph.


The answer is 18.

Arindam Kumar Paul by Arindam Kumar Paul , 25, Bangladesh

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1 solution

Just By Observing The graph , we can see that the graph turns at the point x = − 15 x=-15 , x = 22 x=22 , x = 0 x=0 . So , The Turning Or Critical Points are ( − 15 , 0 , 22 ) (-15,0,22) . So , The graph has total 3 critical points. Now , The answer is : ( ( 22 − 15 ) × 3 ) − 3 = 18 \left ( \left (22-15 \right )\times 3 \right )-3\, =\, 18 .

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Do we take only x - co-ordinates for critical points?

rajdeep das - 4 years, 9 months ago

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