Question

Determine the intervals on which the given function is concave up or down and find points of inflection f(x)= (x^2-6)e^x

Answer 1

First derivative set equal to 0, then plug that into the second derivative and if it is negative, then you have a maxima and concave down and if it is positive, then you have a minima and concave up.

Second derivative set equal to zero to find the points of inflection.

Answer 2

for the second derivative i got e^x(x^2+2x-6) is this correct and how would i set this equal to zero?