First Order Taylor Approximation

Description:

• A linear function that approximates a differentiable function near a given point by using its value and gradient at that point.
• Useful for simplifying complex functions and estimating their behavior around a point of interest.
• $f(x)\approx f(x_0)+\nabla f(x_0{)}^T(x-x_0)+H.O.T.$
  • higher order terms