IB Mathematics SL – Derivatives, Differentiation, Tangent and Normals
We know that the gradient of a curve
at any point
is equal to the gradient of the tangent (
) to the curve at that point.
So about your question we have that
and the gradient of the tangent must be equal to
since is parallel to the line
and the equation of the tangent is given by the following formula
where in this case
and finally the equation of the tangent is
Hope these help!!