Question

Y = √x, (1, 1)
Find an equation of the tangent line to the curve at the given point

Answer 1

Explanation:

`(dy)/(dx) ( √(x) ) = (1)/(2 √(x) )`

The slope of the line at x=1 is

`(1)/(2(1)) = (1)/(2)`

so our equation is

`y - 1 = (1)/(2) (x - 1)`

`y - 1 = (1)/(2) x - (1)/(2)`

`y = (1)/(2) x + (1)/(2)`