Tangent Line Calculator

Calculate the equation of a tangent line to a curve at a given point.

Enter the x-coordinate of the first point

Enter the y-coordinate of the first point

Enter the x-coordinate of the second point

Enter the y-coordinate of the second point

How it works

Calculate the equation of a tangent line to a curve at a given point.


The Formula
y - y1 = m(x - x1)
m = (y2 - y1) / (x2 - x1)

Worked Example
  1. Example: Find the tangent line to the curve y = x^2 at (1, 1)

    Given the curve y = x^2 and the point (1, 1), we can find the slope of the tangent line using the formula m = (y2 - y1) / (x2 - x1).


Tips, Assumptions & Limitations
  • Make sure to enter the correct values for x1, y1, x2, and y2.
FAQ

The tangent line to a curve at a given point is the line that just touches the curve at that point and has the same slope as the curve.

Enter the coordinates of two points on the curve, and the tool will calculate the equation of the tangent line.

Companion article

Tangent Line Calculator: Find the Equation of a Tangent Line

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