# Example of the Slope of a Tangent

In this tutorial we shall discuss an example of the slope of a tangent to any curve at some given point.

Consider the slope of a tangent to at the point

We have

Differentiating both sides with respect to , we get

For the slope of the tangent at the given point , put in equation (ii) to get

Thus, the slope of the tangent to at the point is .