Find an equation of the tangent line to the graph of the function at the given point

Given

, (1, 1) to find the tangent line equation.

let

so,

so let's find

on applying the exponent rule we get,

so ,

so,

let

so ,

=

=

=

=>

now let us find f'(x) value at (1,1) which is slope

f'(1) =

 =

now , the slope of the tangent line is

we have the solope and the points so the equation of the tangent line is

 =

but

so,

=

=

so ,

is the tangent equation