Question

i will medal and fan separate the intervals in which the function f defined on R by f(x) =x^3 -6x^2+9x +4, x in R, is increasing or decreasing . (2) show that the function f defined on R by f(x)=x^3-6x^2+9x+4, for all x in R is increasing in every interval

Answer 1

@rational

Answer 2

@mathmate
@AllTehMaffs
@whydoihavetosignup1

@StudyGurl14 @sleepyjess @Somy @nothingwasthesame

Answer 3

@TSwizzle

Answer 4

@Zarkon

Answer 5

@SithsAndGiggles

Answer 6

please help

Answer 7

Find the derivatives and check which intervals give you negative/positive values for the derivative. If \(f'>0\), then \(f\) is increasing; if \(f'<0\), then \(f\) is decreasing.

Answer 8

ok.but how can i put it

Answer 9

i mean the negative and the positive . like \[(\infty,-\infty)\]

Answer 10

please just help me solve it. am lost. i know that the derivative is 3x^2-12x+9

Answer 11

what should i do next

Answer 12

please help

Answer 13

Find the roots of the polynomial.
\[3x^2-12x+9=0~~\implies~~x^2-4x+3=0~~\implies~~(x-?)(x-?)=0\]

Answer 14

ok. i got that. please continue

Answer 15

i.s x1=3 and x2= 1

Answer 16

please what next?

Answer 17

@Mendicant_Bias

Answer 18

Yes, those roots are correct, if I read right.

Answer 19

please finish it off

Answer 20

i want to really learn this and need no mistakes