# Calculus - Intervals

Please help me with the following calculus problem

Determine the intervals on which the following functions are concave up and concave down,

a) h(x) = x^4 + 4x^3 - 144 x^2 + 324x

b) f(x) = (x-5) e^x

Determine the intervals on which the following functions are increasing and decreasing and classify each of the critical points as a relative minimum, a relative maximum or neither one

a) f(x) = (3/4)x^4 + 6x^3 -240x^2 - 1066

b) g(x) = 2x^5 + 15x^4 - 240x^3

https://brainmass.com/math/calculus-and-analysis/calculus-intervals-480130

#### Solution Summary

The expert determines the intervals on which functions are concave up and concave down.

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