Question

у=√(4-4x-x^2) найти производную

 

 

Answer 1

y = (4-4x-x^2)^(1/2)

y' = (1/2)*(4-4x-x^2)^(-1/2)*(4-4x-x^2)' = 1/[2*(4-4x-x^2)^(1/2)]*(-4-2x) = -2(2+x)/[2*(4-4x-x^2)^(1/2)] = $-frac{2+x}{sqrt{4-4x-x^2}}$