How do you find the equation of the tangent and normal line to the curve #y=x^2-x# at x=1?
1 Answer
Nov 1, 2016
Tangent
Normal
Explanation:
We have
Differentiating wrt
When
And,
So the tangent passes through the point (1,0) and has gradient
The normal is perpendicular to the tangent,so the product of their gradients is
So the normal passes through the point (1,0) and has gradient