Q. 22 - Calculus

Question

Find the possibility graph of its derivative f'.

Step-by-Step Solution

Answer

The  possibility graph of its derivative f' is  

Step 1. Given

The given information is  

Step 2. Explanation

From the above graph the function is decreasing on (- ∞, 0) : where f'  <0 and increasing at (0, ∞) where f'  >0 . Therefore, the possible graph of the derivative of above graph is shown below.

The graph of f'  have roots at x = 0 and x = 2 . The graph off should "bounce" off the x

axis at x = 2

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