# Newton's method to find the inflexion points of a function

Use the Newton's method to find the inflexion points of a function given by (x^3+3x^2-4)/e^x

The derivative of the function is -(x^3-6x-4)/e^x

The Newton's method has the formula xn+1=xn-(f(xn))/f'(xn)

I am unable to proceed with x0 values of 1 and -2.

Hint....To find points of inflexion you need to solve $\frac{d^2y}{dx^2}=0$
• So set $f(x)=$ the top line of this and apply Newton's Method. There are three possible points. Which one do you need to find? Aug 6, 2015 at 14:51