# 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