## Tangents and Normals

**Tangents **

Given a curvewe can find the equation of the tangent toat a point whereby

Finding

Differentiating f(x)and substituting x=p to find

Usingtofind the equation of the tangent.

Example: Find the equation of the tangent to the curve

Multiply the brackets out to getand differentiate to get

and now find

**Normals **

Give a curvewe can find the equation of the normal toat a point whereby

Finding

Differentiating f(x)and substituting x=p to find

Usingtofind the equation of the normal.

Example: Find the equation of the normal to the curve

Multiply the brackets out to getand differentiate to get

and now find