Question

how do you find the coordinates of points of inflection

Answer 1

1.) Differentiate the function.
2.) Find where the derivative f '(x) = 0.
3.) Find whether f '(x) changes from positive to negative, negative to positive or stays the same where f '(x) = 0.
4.) Double check your results by examining a graph of the derivative function f '(x) to determine whether your answers seem true. If f '(x) changes from positive to negative or negative to positive, the point(s) where f '(x) = 0 are inflection points of the function f(x)

Answer 2

The derivative of something, is its rate of change in relation to anyther quantity.
The point of inflection is the point where the rate of change of the slope gets to 0 then begins to go in the other direction. Try to work it from there.

Answer 3

Do not give a method like that, let the guy think! And this method is wrong by the way. @Evonflyer

Answer 4

For you it might be wrong, but for me it works :) @ivanmlerner

Answer 5

@krystalpooky, the point of inflection is where the second derivative equals zero.

Answer 6

Thank you @calculusfunctions. @Evonflyer he is absolutely right