Question

Find the maximum and minimum of the following equation:
y = x^7 - 4x^4 - x^3 + 7x^2 + 30x

Answer 1

first you have to differentiate y once (w.r.t x)

Answer 2

so you find the first derivative then just solve for x?

Answer 3

yes. But do you know how to solve an eq of degree 6?

Answer 4

no thats my next question..

Answer 5

hmm i too don't know :\
@amistre64

Answer 6

I think ill have to use synthetic division

Answer 7

lemme check if we can get somewhere using synthetic division...

Answer 8

nope. I have nuthin :(

Answer 9

thanks for trying

Answer 10

:O it only has complex roots http://www.wolframalpha.com/input/?i=7x%5E6-16x%5E3%2B14x-3x%5E2%2B30%3D0

Answer 11

Collin see here http://www.wolframalpha.com/input/?i=graph+of+y+%3D+x%5E7+-+4x%5E4+-+x%5E3+%2B+7x%5E2+%2B+30x&dataset=&equal=Submit This function has no minima or maxima.

Answer 12

ohh so there are no real maxima or minima?

Answer 13

yep. But how can you do it without a graphing calculator is the question..

Answer 14

good question. my actual assignment is to write a computer program to solve the question so maybe i can find something on google to help me

Answer 15

ohhhh a program....i see..