Tangent Line Equation Calculator Online

Tangent Line Equation Calculator

This tool allows (free) you to calculate the equation of the tangent line to a given function at a specific point.

Enter a function (e.g., f(x) = x^2): Enter the point where you want to find the tangent line:

Enter slope (m) of the line: Enter x-coordinate of the point on the line:

Usage Instructions:

1. Enter the function in the format, e.g., f(x) = x^2, in the input field.
2. Enter the x-coordinate of the point where you want to find the tangent line.
3. Click the "Calculate" button to get the tangent line equation.

Example:

If you want to find the tangent line to the function f(x) = x^2 at x = 2, enter "f(x) = x^2" and "2" as the point.

Result:

The equation of the tangent line is displayed below the "Calculate" button.

Note: You may need an internet connection to load the Math.js library used for calculations.

What is Tangent Line Equation?

The tangent line equation is a linear equation that represents the slope of a function at a specific point. The general form of the equation of a tangent line is:

y = mx + b

Where:

• y is the dependent variable (usually the function's output).
• x is the independent variable (usually the function's input or the point where you want to find the tangent).
• m is the slope of the tangent line at the given point. To find m, you typically calculate the derivative of the function with respect to x and then evaluate it at the specific point.
• b is the y-intercept of the tangent line, which can be found using the point-slope formula, b = y - mx.

So, to find the equation of the tangent line to a function at a specific point, you need to calculate the slope m using the derivative and find the y-intercept b using the point and slope.