Final answer:
The Differentiation calculator can be used for finding the linearization of a function at a given point.
Step-by-step explanation:
The calculator that can be used for finding the linearization of a function at a given point is the Differentiation calculator (option A).
The linearization of a function at a given point is the equation of the tangent line to the graph of the function at that point. It helps to approximate the function near the given point.
For example, if we have a function f(x) = x^2 and we want to find the linearization at the point (1,1).
- Using the differentiation calculator, find the derivative of the function f'(x) = 2x.
- Substitute the given point (1,1) into the derivative to find the slope of the tangent line: f'(1) = 2*1 = 2.
- Use the point-slope form to write the equation of the tangent line: y - 1 = 2(x - 1) or y = 2x - 1.