Question

помогите с производными плиз срочно. 2,3,4,5,6,7

Answer 1

1) f'(x) = 15x⁴ +4
2) f'(x) =-16/x⁹ - 0,6x⁵ + 4/(2√x) =) =-16/x⁹ - 0,6x⁵ + 2/√x
3) f(x) =2x³ -x
f'(x) = 6x² -1
4) f'(x) = ( (x +5)'*Sinx - (x +5)*(Sinx)' )/Sin²x =(Sinx -(x +5)*Cosx)/Sin²x .
5) f'(x) = (2x² - 4)'*(x +3) + (2x² -4) * (x +3)' =4x(x +3) +2x² -4=
=4x² +12x -2x² -4 = 2x² +12x -4
6)f'(x) = 8(5x⁴ -8)⁷ *(5x⁴ - 8)' = 8(5x⁴ -8)⁷ *20x³ = 160x³(5x⁴ -8)⁷
7) f'(x) = 1/2√(x² +4) * (x² +4)' = 2x/2√(x² +4) = x/√(x² +4)