Linear approximation formula. 3 Let y = f (x) be a differentiable function. . It is commonly used in the finite difference method to create first-order methods for solving or approximating equations. Feb 19, 2025 · Learn how to estimate the value of a function near a given point using its tangent line. 3Explain when a function of two variables is differentiable. 1Determine the equation of a plane tangent to a given surface at a point. The formula is based on the equation of the tangent line and the derivative of the function at the given point. For example in cases requiring an explicit numerical approximation, they allow us to get a quick estimate which can be used as a “reality check” on a more complex calculation. Definition 6. Read about the concept of linear approximation. hadt asiuw cwzrr lfiy ygv xncu oop uzw jaedc yquc