Question

Найти производные 1) y=11x-1/-3x+5; 2) f(x)=cosx*x^4

Answer 1

$y=frac{11x-1}{-3x+5}\\y'=frac{11(-3x+5)-(11x-1)(-3)}{(-3x+5)^2}=frac{-33x+55+33x-3}{(5-3x)^2}=frac{52}{(5-3x)^2}\\\y=cosxcdot x^4\\y'=-sinxcdot x^4+cosxcdot 4x^3=-x^4sinx+4x^3cosx$