Question

Find the points of inflection for the curve; y = x(x² -5)²

help please.. thank you.

Answer 1

Find the derivative of x(x^2-5)^2
dy/dx = 5(x^4-6x^2+5)

Then find the second derivative
f'' = dy^2/dx^2 = 20x(x^3-3)

20x(x^3-3)=0 , then find x and y that is the poi

Answer 2

double differenciate and put y'' = 0.