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

Usingto find 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

Usingto find 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