Question

help please..........................................
Find the local maximum of the function
y = x3 + 3x2 - 2x + 4

Answer 1

ct one:
a. (-2.3, 12.3)
b. (-3.8, 0)
c. (0, 4)
d. (0.3, 3.7)

Answer 2

find y'
then solve y'=0
then determine the sign of y'
then find local max

Answer 3

i didn't understand :(

Answer 4

\[y=x^3+3x^2-2x+4\\y'=3x^2+6x-2\\y'=0\\3x^2+6x-2=0\\\]

Answer 5

i got a is that right

Answer 6

a. is correct.
The exact symbolic answer is:\[\left\{\frac{1}{3} \left(-3-\sqrt{15}\right),\frac{10 \sqrt{\frac{5}{3}}}{3}+8\right\} \]