Question

approximate the relative minimum and/or maximum of f(x)=x^3-3x^2-12x

Answer 1

sorry i wrot eit wrong

Answer 2

approximate the relative minimum and/or maximum of f(x)=x^3-3x^2+2

Answer 3

have you differentiated it?

Answer 4

you differentiate it and set it to \(0\) for the max.

Answer 5

\[f'(x) = 3x^2-6x\]

Answer 6

then set it to \(0\)

Answer 7

\[3x^2-6x=0\]

Answer 8

i think that you're able to do it now :)

Answer 9

what about the minimum?

Answer 10

it's says max or min; you determine if its a max. or min..

Answer 11

f(x)=x^3-3x^2-12x
m=3x^2-6x-12
m'=6x-6
m'=0
x=1 therefore its min

Answer 12

so there;s a minimum and maximum?

Answer 13

wait you differentiate it twice to determine if its a max or min i think

Answer 14

you solve for \(x\) first from \(f'(x)\)
and to determine the nature i.e is the max/min you use the second derivative subbing in the \(x\) stationary point