How do you find the points of Inflection of #f(x)=2x(x-4)^3#?
2 Answers
Below
Explanation:
For points of inflexion,
ie
Test
At
At
At
Therefore, there is a change in concavity so there is a point of inflexion at x=4
Test
At
At
At
Therefore there is a change in concavity so there is a point of inflexion at x=2
Point of inflection is at
Explanation:
Points of Inflection appear where the curve changes from being concave to convex or vice versa. This happens when second derivative i.e.
As
and
This is
or
or
Hence point of inflection is at
Graph not drawn to scale.
graph{2x(x-4)^3 [-10, 10, -70, 30]}