P^2 + 12pk + 36k^2 = (p + 6k)^2
X² + 2bx - 3 = 0
3² + 2b * 3 - 3 = 0
9 + 6b - 3 = 0
6b = - 6
b = - 1
x² - 2x - 3 = 0
D = ( - 2)² - 4 * 1 * ( - 3) = 4 + 12 = 16 = 4²
Ответ: b = - 1 , x₂ = - 1
1-(х в квадрате-4ху+4у в квадрате)
1(х-2у)скобка в квадрате
(1-(х-2у))*(1+(х-2у))
(1-х+2у)*(1+х-2у)
Y = cosx + tgx
y' = -sinx + 1/cos²x
y = 5sin3x
y ' = 5·3cos3x = 15cos3x
y = 4x⁵ + tg3x - cos²x
y' = 4·5x⁴ + 3/cos²x + 2sinxcosx = 20x⁴ + sin2x + 3/cos²x
P.s.: u = cosx, v = u²
y' = u'v' = (cosx)'(u²)' = -sinx·2u = -sinx·2cosx = -2sinxcosx
(sinx)' = cosx
(cosx)' = -sinx
(tgx)' - 1/cos²x
(xⁿ)' = nxⁿ⁻¹