Question

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) = 6x^3 + x^2 + 6x
Please help!

Answer 1

Critical numbers are where the derivative is 0. What did you get for f'(x)?

Answer 2

18x^2+2x+6

Answer 3

ok. so you want to solve 18x^2+2x+6 = 0 using the quadratic formula or some other method

Answer 4

oh okay!

Answer 5

i got 4+-sqroot(-428)/36

Answer 6

Ok, so √-428 is an imaginary number, so there are no values of x where the derivative is 0, which means there are no critical values.

Answer 7

so my answer would be DNE

Answer 8

yes

Answer 9

thank you!!

Answer 10

you're welcome!