Объяснение:
1 . a ) y' = 2*4x³ + 1/9 *3x² - 1/4 *2x - 8*1 + 0 = 8x³ + 1/3 x²- 1/2 x - 8 ;
б ) у' = (xcosx )' = 1*cosx - xsinx = cosx - xsinx ;
в ) y' = [ x²/( x - 1 )]' = [ 2x( x - 1 ) - x² * 1 ]/ ( x - 1 )² = (x² - 2x )/( x - 1 )² .
2 . S = ∫₃⁴ x²dx = x³/3│₃⁴ = 1/3 ( 4³ - 3³) = 1/3 ( 64 - 27) = 1/3 *37 = = 12 1/3 (кв.од.)
3 . y = f(x) = x⁵ + 2x ;
F(x) = x⁶/6 + 2x²/2 + C = 1/6 x⁶ + x² + C ; F(x) = 1/6 x⁶ + x² + C .
2√ 1
Объяснение: