Объяснение:
y = ( x - 8 )eˣ⁻⁷ ;
y' = 1*eˣ⁻⁷+ ( x - 8)eˣ⁻⁷= ( x - 7 )eˣ⁻⁷ ;
y'(x) = 0 ; ( x - 7 )eˣ⁻⁷= 0 ;
x - 7 = 0 або eˣ⁻⁷= 0 ;
x = 7Є [ 6 ; 8] xЄ∅
y(6) = ( 6 - 8 )e⁶⁻⁷= - 2/e ;
y(7) = ( 7 - 8 )e⁷⁻⁷= - 1 * e⁰ = - 1 ;
y(8) = ( 8 - 8 )e⁸⁻⁷ =0 * e = 0 .
min y( x ) = - 1 ; max y ( x ) = 0 .
[-6;8] [-6;8]
Объяснение:
y = ( x - 8 )eˣ⁻⁷ ;
y' = 1*eˣ⁻⁷+ ( x - 8)eˣ⁻⁷= ( x - 7 )eˣ⁻⁷ ;
y'(x) = 0 ; ( x - 7 )eˣ⁻⁷= 0 ;
x - 7 = 0 або eˣ⁻⁷= 0 ;
x = 7Є [ 6 ; 8] xЄ∅
y(6) = ( 6 - 8 )e⁶⁻⁷= - 2/e ;
y(7) = ( 7 - 8 )e⁷⁻⁷= - 1 * e⁰ = - 1 ;
y(8) = ( 8 - 8 )e⁸⁻⁷ =0 * e = 0 .
min y( x ) = - 1 ; max y ( x ) = 0 .
[-6;8] [-6;8]