Pls show solution tysm

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 .