Linear Approximation Calculator
Results
What is Linear Approximation
Linear approximation is a mathematical method used to estimate the value of a function near a specific point using the function’s derivative at that point. It creates a linear function that closely matches the original function’s behavior near the chosen point. This technique is particularly useful in calculus and engineering applications where quick estimates are needed.
How to Use Linear Approximation Calculator
Step 1
Select the type of function you want to approximate from the dropdown menu (explicit, parametric, polar, or implicit).
Step 2
Enter your function in the input field using standard mathematical notation. For example, type “x^2” for x², “sin(x)” for sine function.
Step 3
Input the point of approximation (a) where you want to calculate the linear approximation.
Step 4
Click the calculate button to obtain your results. The calculator will display the linear approximation formula and provide a detailed explanation of the calculation process.
Step 5
Review the results section to see both the linear approximation formula L(x) and the explanation of how it was derived using the tangent line method.