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.

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.

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.

equation_tangent_line(function;number)

Note: x must always be used as a variable

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]

See also

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- Find the equation of tangent line : equation_tangent_line. 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.
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