<span>tg(x+9π)=tg(9</span>π+x)=tg(8π+(π+x))=tg(π+x)=tgx.
(x - 4)(x + 2)(x + 8)(x + 14) = 1204
x² - 4x + 2x - 8 (x + 8)(x + 14) = 1204
x³ - 4x² + 2x² - 8x + 8x² - 32x + 16x - 64 (x + 14) = 1204
x^4 - 4x³ + 2x³ - 8x² + 8x³ - 32x² + 16x² - 64x + 14x³ - 56x² + 28x² - 112x + 112x² - 448x + 224x - 896 = 1204
x^4 + 20x³ + 44x² - 400x - 896 = 1204
x^4 + 20x³ + 44x² - 400x = 1204 + 896
x^4 + 20x³ + 44x² - 400x = 2100
А) <span>f </span>⁾<span>(x)= 3x^2 + x - 4
D=1+48=49
x=(-1+7)/6=1
x=(-1-7)/6= -4/3
+ - +
---------- -4/3---------1--------------------
x</span>∈(-∞;-4/3)∪(1;+∞)
б) <span>f(x)= 2x + x^2/2 - x^3/3
</span><span>f</span>⁾<span>(x)= 2+х-х</span>²
D=1+8=9
x=(-1+3)/(-2)=-1
x=(-1-3)/(-2)=2
- + -
__________ -1________2________
x∈(-1; 2)