How do you find the equation of the tangent and normal line to the curve #y=x^(1/2)# at x=1?
We find the tangent line to a curve by finding the derivative first.
Let's now find the y value when
We can now use these information to find the equation of the tangent line using the formula
That is the equation of the tangent line at the point
A normal line is perpendicular to the tangent line.
We can find the slope of the normal line by finding the negative reciprocal of the slope of the tangent line.
We use the formula
That is the equation of the normal line at the point