Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

(a) Find the critical points for f(x)= x²-x⁴
(b) Determine the intervals where f is increasing or decreasing.
(c) Classify each critical point as local maximum local minimum or neither one.
(d) Determine the intervals where f is concave up and where it is concave down.
(e) Determine points of inflection for f.