Q. 20 - 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

The objective is to sketch a possible graph of its derivative f".

From the above graph, the function f(x) is increasing in the interval (-3.2,-2.2) and

(-1,1.5)

So. f'(x) > 0 is in the interval (-3.2,-2.2) and (-1,1.5)

From the above graph, the function f(x) is decreasing in the interval (-2.2,-1) and

(1.5,2.1)

f'(x) < 0 in the interval (-2.2,-1) and (1.5,2.1)

f'(x)=0 at x = -2.2, x=-1 and x = 1.5.