Math, Mathematics, Mathematics Education, Calculus, Learning.
as: Let’s expand these terms to avoid the indeterminate form: We can now cancel the (x₁)² term in the numerator: Factoring out Δx, we get: Notice how we can cancel out Δx: So, for f(x)=x², the derivative at any point x₁ will equal 2x₁ — the same as what we got above graphically, which is just