Final answer:
The first order Taylor approximation is a mathematical technique used to approximate a function by its tangent line at a specific point.
Step-by-step explanation:
The first order Taylor approximation is a mathematical technique used to approximate a function by its tangent line at a specific point.
The formula for the first order Taylor approximation is:
f(x) ≈ f(a) + f'(a)(x - a)
Where:
- f(x) is the original function
- f(a) is the value of the function at the point a
- f'(a) is the derivative of the function at the point a
- x is the input value
- a is the point of approximation