f(x)=(x-3)(x+2)^3 what is the:
domain
range
derivative(s)
relative max,if any
relative mim, if any
inflection points, if any
concave up
concave down
please help
2007-09-25 11:44:17 · 3 answers · asked by fvsdf s 2 in Science & Mathematics ➔ Mathematics
Don't stand there, break out some graph paper and do some sketching. Offhand, the domain looks open-ended. The function resembles a concave-up parabola, since there are two different roots. The 1st derivitive would be (the alternate would be to multiply out the quartic and take the derivitive).
(x+2)^3 + (x-3)*3*(x+2)^2 or
(x+2)^2 ([x+2]+3(x-3)]
or (x+2)^2 (3x-7)
2007-09-25 14:00:59 · answer #1 · answered by cattbarf 7 · 0⤊ 0⤋
Take a look in your calc book, I am sure it has examples of how to do everyone of thoes problems.
For the derivative just use the product rule. or expand it all out and use the power rule.
2007-09-25 18:54:53 · answer #2 · answered by Mαtt 6 · 0⤊ 0⤋
man, i did this pre-calc. Yahoo! has a homework help section that shows you how to do these problems. Check it out.
2007-09-25 18:50:37 · answer #3 · answered by Hitokiri 2 · 0⤊ 0⤋