The equation of the tangent line to the curve y=x+x−−√ at the point (49,56) is

Answer 1

Find its slope from dy/dx.

dy/dx = 1 + (1/2)x^-1/2

m = dy/dx evaluated at x=49

In point slope form, the equation of the line is

y - y₁ = m(x - x₁)

m = result from above

x₁ = 49

y₁ = 56

Plug in the numbers.