Question

помогите, пожалуйста.
узтест, производные

Answer 1

$y= frac{4x^2-4x^5}{x^2+5x}= frac{x(4x-4x^4)}{x(x+5)}= frac{4x-4x^4}{x+5} \ \ y'= frac{(4-16x^3)(x+5)-(4x-4x^4)}{(x+5)^2}= frac{4x-16x^4+20-80x^3-4x+4x^4}{(x+5)^2}= \ \ = frac{20-12x^4-80x^3}{x^2+10x+25}$

y=-5cosx-3
y ' = 5sinx

y=tg(2-4x)
$y'= - frac{4}{cos^2(2-4x)}$

$f(x)= frac{cosx}{1-x} \ \ f'(x)= frac{-(1-x)sinx+cosx}{(1-x)^2}= frac{(x-1)sinx+cosx}{(1-x)^2} \ \ f'(0)= frac{(0-1)sin0+cos0}{(1-0)^2}= frac{1}{1^2}=1$