Thursday, June 16, 2016

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

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