Given:
The equation of curve is:

To find:
The equation of the tangent line to the given curve at (0,1).
Solution:
We know that the slope of the tangent line at (a,b) is

We have,

Differentiate with respect to x.


Slope of the tangent is




on further simplification, we get


The slope of the tangent line is
and it passes through the point (0,1). So, the equation of the tangent line is




Therefore, the equation of the tangent line is
.