Производная функции y=arctg(x/2+1) будет равна:
y' = 1 / (1 + ((x/2+1)^2)) * (1/2)
y' = 1 / (1 + (x^2/4 + x + 1)) * (1/2)
y' = 1 / (x^2/4 + x + 2) * (1/2)
y' = 2 / (x^2 + 4x + 8)
Производная функции y=arctg(x/2+1) будет равна:
y' = 1 / (1 + ((x/2+1)^2)) * (1/2)
y' = 1 / (1 + (x^2/4 + x + 1)) * (1/2)
y' = 1 / (x^2/4 + x + 2) * (1/2)
y' = 2 / (x^2 + 4x + 8)