Question

Consider the function y=3x^2/3-2x
a) Find the critical points. Indicate the nature of each critical point (i.e. y'=0 or y' does not exist.
b) Find intervals where the function is increasing and decreasing.
c)Find all extrema
d) Find intervals where the function is concave up and concave down.
e)Sketch the curve

Answer 1

critical point is when 3-2x=0 so 3=2x so x=3/2
because than the fraction don't exist so is undefined