Question

f(x) = x^4 − 8x^3 + 10 .
need the local maxima, local minima and all inflection points of f(x).
and need to determine the intervals on which f(x) is decreasing.
and determine the intervals on which f(x) is concave up.

Answer 1

http://www.wolframalpha.com/input/?i=x^4+%E2%88%92+8x^3+%2B+10

That will get u started...

Answer 2

A tricky curve to visualize. Refer to the attached plots.