ap Calculus please explain

Question

The second derivative of the function f is given by f''(x)=x(x-a)(x-b)^2. The graph of f'' is shown above. For what values of x does the graph of f have a point of inflection?

how do I upload the image (graph)?

Answer 1

ap Calculus please explain

The second derivative of the function f is given by f''(x)=x(x-a)(x-b)^2. The graph of f'' is shown above. For what values of x does the graph of f have a point of inflection?

how do I upload the image (graph)?

Hello Galang,

At points of inflection, the 2nd derivative = 0. Solve for x. Omit b from solutions since it is even multiplicity.

Inflection at x = 0 and x = a