Question

The graph of y=5x^4-x^5 has a point of inflection at?

Answer 1

points of inflection occur when f''(x)=0

y=5x^4-x^5
y'=20x^3-5x^4
y''=30x^2-20x^3=10x^2(3-2x)=0

so the inflection points are:

x={0,3/2}