The tangent line equation calculator is used to calculate the equation of tangent line to a curve at a given abscissa point with stages calculation.

Determine the equation of the tangent at a given point.

C is the graph of a differentiable function f at point a. The tangent to C at point A (a, f (a)) is the line through A and whose director coefficient is `f'(a)`.

An equation of the tangent to C at point A (a; f (a)) is : `y = f(a) + f'(a)(x-a)`.

It is through this approach that the function equation_tangent_line allows determine online the reduced equation of a tangent to a curve at a given point.

For example, to calculate the equation of the tangent at 1 of the function `f: x-> x^2+3`, enter equation_tangent_line(`x^2+3;1`) , after calculating the result `[y=2+2*x]` is returned.

The calculator shows the steps for determining the equation of the tangent.

Draw the tangent function at a point

It is possible from the equation of the representative curve of a function to use the online graphing calculator for draw the tangent of a function at a point.

Syntax :

equation_tangent_line(function;number)

Note: x must always be used as a variable

Examples :

This example shows how to find equation of tangent line using the calculator :

equation_tangent_line(`x^2+3;1`), returns  [y=2+2*x]