Question

решите пожалуйста, 19 номер​

Answer 1

$\displaystyle\\y=1+4x-x^2\\\\y'=4-2x\\\\y'=0\\\\4-2x=0\\\\-2x=-4\\\\x=2\\\\f(0)=1+4*0-0^2=1\\\\f(2)=1+4*2-2^2=1+8-4=1+4=5\\\\\\f_{max\ [0;2]}=5\\\\f_{min\ [0;2]}=1$