What are the points of inflection of f(x)=3ln(x^(2) +2) -2x ?
1 Answer
The inflection points for this function are
Explanation:
To find out inflection points for any function, the second derivative test is also useful. A necessary condition for x to be an inflection point is
Using the above test, we go ahead solving this question by differentiating the function twice, and then finding the values of
Putting f''(x)=0, we get:
Now, to check if
Substitute the following values in expression (i) and we get;
Hence,
Similarly, check;
By the same argument,