Equation of a tangent line of a curve is:
y- y0 = f´ (x0) (x - x0 ). In this case: x0=1, y0=1
f´(x)=[tex] \frac{1}{2 \sqrt{x} } [/tex](Derivation)
f´(x0)=[tex] \frac{1}{2} [/tex]
y - 1 = 1/2 ( x - 1 )
y - 1 = 1/2 x - 1/2
y = 1/2 x - 1/2 + 1
y =[tex] \frac{1}{2}x+ \frac{1}{2} [/tex]
