Найдите производную из 1/2a(sin4x-3)

1/2a4*sin4x*cos4x=0

2asin4x*cos4x=0

 

sin⁴(π/16) + sin⁴(3π/16) + sin⁴(5π/16) + sin⁴(7π/16) = (1 - cos(π/8))²/4   +

+ (1 - cos(3π/8))²/4   +   (1 - cos(5π/8))²/4   +   (1 - cos(7π/8))²/4   =   (1/4) •

• ( 1 - 2cos(π/8) + cos²(π/8) + 1 - 2cos(3π/8) + cos²(3π/8) + 1 - 2cos(5π/8) + cos²(5π/8) + 1 - 2cos(7π/8) + cos²(7π/8) ) = (1/4) • ( 4 - 2•( cos(π/8) + cos(3π/8) + cos(5π/8) + cos(7π/8) ) + ( cos²(π/8) + cos²(3π/8) + cos²(5π/8) + cos²(7π/8) ) ) =   (1/4) • ( 4 - 2•( 2•cos(π/2)•cos(-3π/8) + 2•cos(π/2)•cos(-π/8) ) + ( cos²(π/8) + cos²(3π/8) + cos²(5π/8) + cos²(7π/8) ) ) = 1 + (1/4)•( cos²(π/8) + cos²(3π/8) + cos²(5π/8) + cos²(7π/8) ) = 1 + (1/4)•( ( cos(π/8) + cos(7π/8) )² + ( cos(3π/8) + cos(5π/8) )² - 2•cos(π/8)•cos(7π/8) - 2•cos(3π/8)•cos(5π/8) ) =

= 1 - (1/4)•( cosπ + cos(-3π/4) + cosπ + cos(-π/4) ) = 1 - (1/4)•( - 2 - (√2/2) + (√2/2) ) = 1 - (1/4)•(-2) = 1 + 0,5 = 1,5

ответ: 1,5

300 * 3000 * 0,003 = 3 * 10² * 3 * 10³ * 3 * 10^-3 = 27 * 10² = 2700  56 / ( ( 4√ 7)² = 56 / ( 16 * 7 ) = ( 7 * 8 )  / ( 16 * 7 ) = 1/2  - 6x - 17 = 1  - 6x = 18  x = - 3  ( a - b )² + 2a( 5a - b ) = a² - 2ab + b² + 10a² - 2ab = 11a² + b² - 4ab  a = 2 ; b =  √ 3  11*2² + (√3 )²  - 4*2*√3 = 44 + 3 - 8√3 = 47 - 8√3  8x - 2( x - 3 ) < - 15  8x - 2x + 6 < - 15  6x < - 15 - 6  x < - 21 : 6  x < - 3 3/6  x < - 3 1/2  ( -  ∞ ; - 3 1/2 )