z = 1 + x² + y²
u = ⟨1/√2, 1/√2⟩ at P₀(1, 1)
secant slope = 3.528
( f(P) − f(P₀) ) / s = 2√2 + s
secant 3.528  →  tangent 2.828
Watch:
step s = 0.70