y=arctanxdy=y'dx=dx/(1+x^2)在x=1, y=arctan1=π/4, dx=-0.02处,有:dy=-0.02/(1+1)=-0.01所以arctan0.98=π/4-0.01=0.7754.
d(arctan x) = 1/(1+x^2) dxarctan 0.98 = arctan (1-0.02) ≈ arctan 1 - 0.02 * d(arctan 1)= π/4 - 0.02/2 = π/4 - 0.01 ≈ 0.775