1.Найдите наивеличайшее значение функции f(x) = -x + 4x + 21

1. f(x) = (-x^2 + 4x + 21) = -2x + 4;

-2x + 4 = 0;

-2x = -4;

x = 2;

f(2) = -4 + 8 + 21 = 25;

fнаиб = f(2) = 25;

2. g(x) = 2x + 4;

2x + 4 = 0;

2x = -4;

x = -2;

g(-2) = 4 - 8 - 32 = -36;

gнаим = g(-2) = -36;

3. y = (ln(e^2 - x^2)) = (e^2 - x^2)/(e^2 - x^2) = -2x/(e^2 - x^2);

-2x/(e^2 - x^2) = 0;

x = 0;

y(-1) = ln(e^2 - 1) lt; 2;

y(0) = lne^2 = 2;

y(1) = ln(e^2 -1) lt; 2;

yнаиб = y(0) = 2.