How many inflexion points does this function have?
#f''(x)=(x-1)^3 (x^2 -4)(x^2 +1/2)(x+1)^2#
How many inflexion point does function f have? I believe it has 5 but i need someone to confirm it please.
How many inflexion point does function f have? I believe it has 5 but i need someone to confirm it please.
2 Answers
See below.
Explanation:
If you are basing this on
It should be remembered that when
max/min or points of inflexion, so you can only be sure if you test
each value to the left and right. If there is no change in the sign then it's a point of inflexion.
This is the shape of the graph of the original function. This may or may not need translating up or down, since I can only find this function from an indefinite integral. You can see though that points of inflexion are not immediately obvious.
Explanation:
That is: at
The factors
So the concavity of
And