Question

on the interval [0,2] the function y=x^3+3x^2-9x+27 has an absolute maximum when x= (a)0 (b)1/2 (c)2 (d)1 (e)none

Answer 1

\( x\) is maximum iff

\[f'(x)=0 \\f''(x)<0 \]

Answer 2

so a? thank you man

Answer 3

\[f'(x)=3x^2+6x-9 \longrightarrow x_1=1, \ x_2=-3 \\f''(x))6x+6 \]