## Equation of a tangent to a curve

You must have a general understanding of graph gradients, tangents, normals and derivatives. This would probably be a reminder rather than a lesson. Finding the equation of a tangent to a curve involves finding the derivative/gradient function of the function and then finding the gradient m of the tangent at the given point and by substituting in the x-coordinate of the point in the derivative. So the steps are;

- Find the derivative
**f ’(x)** - Find the gradient
of the tangent by substituting in the x-coordinate of the point.*m* - And then use the following formula to get the equation of the tangent. You will need the m which is the gradient, x-coordinate which is the given value and the y-coordinate, you find this by substituting it in the original function.

**more about tangents**here

- Find the derivative
**f ’(x)** - Find the gradient
of the tangent by substituting in the x-coordinate of the point.*m* - And then use the following formula to get the equation of the tangent. You will need the m which is the gradient, x-coordinate which is the given value and the y-coordinate, you find this by substituting it in the original function.

**more about tangents**here

#### Objectives

A list of sections

#### Tips

A list of tips