  (see athchad -page7. Given)x+108x-10, find the open intervals where the function is concave upward orconcave downward. Find any points of inflection) =-2x3-9x2 + 108x-10 , find the open intervals where the function is concave upward or5 of 7

Question

How do I find open intervals.  I am attaching a problem help_outlineImage Transcriptionclose(see athchad -page 7. Given)x+108x-10, find the open intervals where the function is concave upward or concave downward. Find any points of inflection ) =-2x3-9x2 + 108x-10 , find the open intervals where the function is concave upward or 5 of 7 fullscreen
Step 1

We have to find inflection point and open interval of concave up and concave down of f(x) where f(x) is given by:

Step 2

We will use power rule of derivative to find f''(x) .

Power rule of derivative is given by

Step 3

Inflection point of f(x) is where f''(x)=0 so with the help of power rule of derivative(use two times t...

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